425958624 has 144 divisors (see below), whose sum is σ = 1490946912. Its totient is φ = 112333824.

The previous prime is 425958623. The next prime is 425958629. The reversal of 425958624 is 426859524.

425958624 is a `hidden beast` number, since 42 + 5 + 9 + 586 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 425958624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425958623) 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, 18082 + ... + 34334.

It is an arithmetic number, because the mean of its divisors is an integer number (10353798).

Almost surely, 2^425958624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425958624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745473456).

425958624 is an abundant number, since it is smaller than the sum of its proper divisors (1064988288).

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

425958624 is a wasteful number, since it uses less digits than its factorization.

425958624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16289 (or 16278 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 425958624 is about 20638.7650793355. The cubic root of 425958624 is about 752.4121590015.

The spelling of 425958624 in words is "four hundred twenty-five million, nine hundred fifty-eight thousand, six hundred twenty-four".