425597040 has 480 divisors, whose sum is σ = 1723550400. Its totient is φ = 92897280.

The previous prime is 425597009. The next prime is 425597041. The reversal of 425597040 is 40795524.

425597040 is a `hidden beast` number, since 4 + 25 + 597 + 0 + 40 = 666.

It is a super-2 number, since 2×425597040² = 362265680913523200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 425596986 and 425597004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425597041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3904506 + ... + 3904614.

It is an arithmetic number, because the mean of its divisors is an integer number (3590730).

Almost surely, 2^425597040 is an apocalyptic number.

425597040 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 425597040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861775200).

425597040 is an abundant number, since it is smaller than the sum of its proper divisors (1297953360).

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

425597040 is a wasteful number, since it uses less digits than its factorization.

425597040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 425597040 is about 20630.0033931165. The cubic root of 425597040 is about 752.1991983988.

The spelling of 425597040 in words is "four hundred twenty-five million, five hundred ninety-seven thousand, forty".