468792576 has 144 divisors (see below), whose sum is σ = 1584508800. Its totient is φ = 133926912.

The previous prime is 468792559. The next prime is 468792589. The reversal of 468792576 is 675297864.

468792576 is a `hidden beast` number, since 4 + 68 + 7 + 9 + 2 + 576 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 43540 + ... + 53228.

Almost surely, 2^468792576 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 468792576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792254400).

468792576 is an abundant number, since it is smaller than the sum of its proper divisors (1115716224).

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

468792576 is an equidigital number, since it uses as much as digits as its factorization.

468792576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9721 (or 9701 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The square root of 468792576 is about 21651.6183228876. The cubic root of 468792576 is about 776.8316446264.

It can be divided in two parts, 46879 and 2576, that added together give a triangular number (49455 = T₃₁₄).

The spelling of 468792576 in words is "four hundred sixty-eight million, seven hundred ninety-two thousand, five hundred seventy-six".