46052160 has 336 divisors, whose sum is σ = 187634880. Its totient is φ = 9461760.

The previous prime is 46052137. The next prime is 46052179. The reversal of 46052160 is 6125064.

46052160 is digitally balanced in base 2, 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 (336).

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 46052160.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 517396 + ... + 517484.

Almost surely, 2^46052160 is an apocalyptic number.

46052160 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 46052160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93817440).

46052160 is an abundant number, since it is smaller than the sum of its proper divisors (141582720).

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

46052160 is a wasteful number, since it uses less digits than its factorization.

46052160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 46052160 is about 6786.1741799043. The cubic root of 46052160 is about 358.4401647695.

The spelling of 46052160 in words is "forty-six million, fifty-two thousand, one hundred sixty".