46308960 has 72 divisors (see below), whose sum is σ = 158034240. Its totient is φ = 12348672.

The previous prime is 46308953. The next prime is 46308971. The reversal of 46308960 is 6980364.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14640 + ... + 17519.

It is an arithmetic number, because the mean of its divisors is an integer number (2194920).

Almost surely, 2^46308960 is an apocalyptic number.

46308960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46308960 is an abundant number, since it is smaller than the sum of its proper divisors (111725280).

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

46308960 is a wasteful number, since it uses less digits than its factorization.

46308960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32180 (or 32169 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 46308960 is about 6805.0686991389. The cubic root of 46308960 is about 359.1051851010.

The spelling of 46308960 in words is "forty-six million, three hundred eight thousand, nine hundred sixty".