46472160 has 96 divisors (see below), whose sum is σ = 167311872. Its totient is φ = 10621440.

The previous prime is 46472137. The next prime is 46472161. The reversal of 46472160 is 6127464.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46472161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3556 + ... + 10275.

It is an arithmetic number, because the mean of its divisors is an integer number (1742832).

Almost surely, 2^46472160 is an apocalyptic number.

46472160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46472160 is an abundant number, since it is smaller than the sum of its proper divisors (120839712).

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

46472160 is a wasteful number, since it uses less digits than its factorization.

46472160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13856 (or 13848 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 46472160 is about 6817.0492150196. The cubic root of 46472160 is about 359.5265380830.

The spelling of 46472160 in words is "forty-six million, four hundred seventy-two thousand, one hundred sixty".