425592400 has 120 divisors (see below), whose sum is σ = 1113991200. Its totient is φ = 155635200.

The previous prime is 425592373. The next prime is 425592403. The reversal of 425592400 is 4295524.

It is a super-2 number, since 2×425592400² = 362257781875520000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425592403) 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, 219435 + ... + 221365.

It is an arithmetic number, because the mean of its divisors is an integer number (9283260).

Almost surely, 2^425592400 is an apocalyptic number.

425592400 is a gapful number since it is divisible by the number (40) 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 425592400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556995600).

425592400 is an abundant number, since it is smaller than the sum of its proper divisors (688398800).

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

425592400 is a wasteful number, since it uses less digits than its factorization.

425592400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1997 (or 1986 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 425592400 is about 20629.8909352425. The cubic root of 425592400 is about 752.1964648139.

The spelling of 425592400 in words is "four hundred twenty-five million, five hundred ninety-two thousand, four hundred".