468801152 has 32 divisors (see below), whose sum is σ = 942536100. Its totient is φ = 232243200.

The previous prime is 468801139. The next prime is 468801161. The reversal of 468801152 is 251108864.

It can be written as a sum of positive squares in 2 ways, for example, as 440328256 + 28472896 = 20984^2 + 5336^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2849 + ... + 30752.

Almost surely, 2^468801152 is an apocalyptic number.

It is an amenable number.

468801152 is an abundant number, since it is smaller than the sum of its proper divisors (473734948).

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

468801152 is a wasteful number, since it uses less digits than its factorization.

468801152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33724 (or 33712 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 35.

The square root of 468801152 is about 21651.8163672243. The cubic root of 468801152 is about 776.8363816664.

The spelling of 468801152 in words is "four hundred sixty-eight million, eight hundred one thousand, one hundred fifty-two".