1025401200 has 120 divisors (see below), whose sum is σ = 3303548976. Its totient is φ = 271872000.

The previous prime is 1025401199. The next prime is 1025401207. The reversal of 1025401200 is 21045201.

1025401200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1025401200² = 2102895241922880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1025401200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1025401207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214840 + ... + 219560.

Almost surely, 2^1025401200 is an apocalyptic number.

1025401200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1025401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651774488).

1025401200 is an abundant number, since it is smaller than the sum of its proper divisors (2278147776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1025401200 is a wasteful number, since it uses less digits than its factorization.

1025401200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4923 (or 4912 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 1025401200 is about 32021.8862654904. The cubic root of 1025401200 is about 1008.3963703201.

Adding to 1025401200 its reverse (21045201), we get a palindrome (1046446401).

It can be divided in two parts, 102540 and 1200, that added together give a triangular number (103740 = T₄₅₅).

The spelling of 1025401200 in words is "one billion, twenty-five million, four hundred one thousand, two hundred".