1025380400 has 120 divisors (see below), whose sum is σ = 2738757744. Its totient is φ = 365747200.

The previous prime is 1025380393. The next prime is 1025380403. The reversal of 1025380400 is 40835201.

It is not an unprimeable number, because it can be changed into a prime (1025380403) 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, 231002 + ... + 235398.

Almost surely, 2^1025380400 is an apocalyptic number.

1025380400 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 1025380400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369378872).

1025380400 is an abundant number, since it is smaller than the sum of its proper divisors (1713377344).

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

1025380400 is a wasteful number, since it uses less digits than its factorization.

1025380400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4479 (or 4468 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 1025380400 is about 32021.5614859738. The cubic root of 1025380400 is about 1008.3895519202.

The spelling of 1025380400 in words is "one billion, twenty-five million, three hundred eighty thousand, four hundred".