464858160 has 240 divisors, whose sum is σ = 1591889184. Its totient is φ = 112140288.

The previous prime is 464858111. The next prime is 464858179. The reversal of 464858160 is 61858464.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2960802 + ... + 2960958.

Almost surely, 2^464858160 is an apocalyptic number.

464858160 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 464858160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795944592).

464858160 is an abundant number, since it is smaller than the sum of its proper divisors (1127031024).

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

464858160 is a wasteful number, since it uses less digits than its factorization.

464858160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 464858160 is about 21560.5695657605. The cubic root of 464858160 is about 774.6523088309.

It can be divided in two parts, 46485 and 8160, that added together give a palindrome (54645).

The spelling of 464858160 in words is "four hundred sixty-four million, eight hundred fifty-eight thousand, one hundred sixty".