464120160 has 192 divisors, whose sum is σ = 1705536000. Its totient is φ = 106046976.

The previous prime is 464120141. The next prime is 464120171. The reversal of 464120160 is 61021464.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 464120160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163231 + ... + 166049.

It is an arithmetic number, because the mean of its divisors is an integer number (8883000).

Almost surely, 2^464120160 is an apocalyptic number.

464120160 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 464120160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852768000).

464120160 is an abundant number, since it is smaller than the sum of its proper divisors (1241415840).

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

464120160 is a wasteful number, since it uses less digits than its factorization.

464120160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2858 (or 2836 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 464120160 is about 21543.4481919678. The cubic root of 464120160 is about 774.2421505957.

The spelling of 464120160 in words is "four hundred sixty-four million, one hundred twenty thousand, one hundred sixty".