465210464 has 48 divisors (see below), whose sum is σ = 943810560. Its totient is φ = 225590400.

The previous prime is 465210433. The next prime is 465210503. The reversal of 465210464 is 464012564.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 465210464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 206657 + ... + 208895.

It is an arithmetic number, because the mean of its divisors is an integer number (19662720).

Almost surely, 2^465210464 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 465210464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471905280).

465210464 is an abundant number, since it is smaller than the sum of its proper divisors (478600096).

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

465210464 is a wasteful number, since it uses less digits than its factorization.

465210464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2443 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 465210464 is about 21568.7381179336. The cubic root of 465210464 is about 774.8479557436.

The spelling of 465210464 in words is "four hundred sixty-five million, two hundred ten thousand, four hundred sixty-four".