425827584 has 288 divisors, whose sum is σ = 1552131840. Its totient is φ = 112140288.

The previous prime is 425827583. The next prime is 425827609. The reversal of 425827584 is 485728524.

425827584 is a `hidden beast` number, since 42 + 5 + 8 + 27 + 584 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425827583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 628654 + ... + 629330.

Almost surely, 2^425827584 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 425827584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776065920).

425827584 is an abundant number, since it is smaller than the sum of its proper divisors (1126304256).

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

425827584 is a wasteful number, since it uses less digits than its factorization.

425827584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 702 counting only the distinct ones).

The product of its digits is 716800, while the sum is 45.

The square root of 425827584 is about 20635.5902265964. The cubic root of 425827584 is about 752.3349948545.

The spelling of 425827584 in words is "four hundred twenty-five million, eight hundred twenty-seven thousand, five hundred eighty-four".