46012560 has 160 divisors (see below), whose sum is σ = 161239680. Its totient is φ = 10752000.

The previous prime is 46012543. The next prime is 46012597. The reversal of 46012560 is 6521064.

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 46012560.

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 31 ways as a sum of consecutive naturals, for example, 76260 + ... + 76860.

It is an arithmetic number, because the mean of its divisors is an integer number (1007748).

Almost surely, 2^46012560 is an apocalyptic number.

46012560 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 46012560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80619840).

46012560 is an abundant number, since it is smaller than the sum of its proper divisors (115227120).

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

46012560 is a wasteful number, since it uses less digits than its factorization.

46012560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 651 counting only the distinct ones).

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

The square root of 46012560 is about 6783.2558554134. The cubic root of 46012560 is about 358.3373950624.

The spelling of 46012560 in words is "forty-six million, twelve thousand, five hundred sixty".