1020152400 has 120 divisors (see below), whose sum is σ = 3280992384. Its totient is φ = 270950400.

The previous prime is 1020152377. The next prime is 1020152407. The reversal of 1020152400 is 42510201.

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

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 1020152400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020152407) 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, 323632 + ... + 326768.

Almost surely, 2^1020152400 is an apocalyptic number.

1020152400 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 1020152400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640496192).

1020152400 is an abundant number, since it is smaller than the sum of its proper divisors (2260839984).

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

1020152400 is a wasteful number, since it uses less digits than its factorization.

1020152400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3429 (or 3418 counting only the distinct ones).

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

The square root of 1020152400 is about 31939.8246707774. The cubic root of 1020152400 is about 1006.6728408219.

Adding to 1020152400 its reverse (42510201), we get a palindrome (1062662601).

The spelling of 1020152400 in words is "one billion, twenty million, one hundred fifty-two thousand, four hundred".