465462016 has 36 divisors (see below), whose sum is σ = 941871112. Its totient is φ = 229533696.

The previous prime is 465462007. The next prime is 465462031. The reversal of 465462016 is 610264564.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

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, 6235 + ... + 31141.

Almost surely, 2^465462016 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 465462016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470935556).

465462016 is an abundant number, since it is smaller than the sum of its proper divisors (476409096).

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

465462016 is an equidigital number, since it uses as much as digits as its factorization.

465462016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24996 (or 24982 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 465462016 is about 21574.5687326537. The cubic root of 465462016 is about 774.9875910604.

The spelling of 465462016 in words is "four hundred sixty-five million, four hundred sixty-two thousand, sixteen".