468596736 has 72 divisors (see below), whose sum is σ = 1353446640. Its totient is φ = 156192768.

The previous prime is 468596731. The next prime is 468596741. The reversal of 468596736 is 637695864.

468596736 is a `hidden beast` number, since 46 + 8 + 596 + 7 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (468596731) and next prime (468596741).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468596731) 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 5 ways as a sum of consecutive naturals, for example, 5721 + ... + 31143.

It is an arithmetic number, because the mean of its divisors is an integer number (18797870).

Almost surely, 2^468596736 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 468596736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676723320).

468596736 is an abundant number, since it is smaller than the sum of its proper divisors (884849904).

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

468596736 is a wasteful number, since it uses less digits than its factorization.

468596736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25451 (or 25428 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 468596736 is about 21647.0953247774. The cubic root of 468596736 is about 776.7234547027.

The spelling of 468596736 in words is "four hundred sixty-eight million, five hundred ninety-six thousand, seven hundred thirty-six".