464652160 has 128 divisors (see below), whose sum is σ = 1344392640. Its totient is φ = 149913600.

The previous prime is 464652157. The next prime is 464652191. The reversal of 464652160 is 61256464.

464652160 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73110 + ... + 79210.

Almost surely, 2^464652160 is an apocalyptic number.

464652160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464652160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672196320).

464652160 is an abundant number, since it is smaller than the sum of its proper divisors (879740480).

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

464652160 is a wasteful number, since it uses less digits than its factorization.

464652160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6144 (or 6132 counting only the distinct ones).

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

The square root of 464652160 is about 21555.7917971018. The cubic root of 464652160 is about 774.5378639190.

The spelling of 464652160 in words is "four hundred sixty-four million, six hundred fifty-two thousand, one hundred sixty".