46704672 has 72 divisors (see below), whose sum is σ = 151796736. Its totient is φ = 13343616.

The previous prime is 46704667. The next prime is 46704677. The reversal of 46704672 is 27640764.

It is an interprime number because it is at equal distance from previous prime (46704667) and next prime (46704677).

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 not an unprimeable number, because it can be changed into a prime (46704677) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9568 + ... + 13599.

It is an arithmetic number, because the mean of its divisors is an integer number (2108288).

Almost surely, 2^46704672 is an apocalyptic number.

46704672 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

46704672 is an abundant number, since it is smaller than the sum of its proper divisors (105092064).

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

46704672 is a wasteful number, since it uses less digits than its factorization.

46704672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23190 (or 23179 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 46704672 is about 6834.0816500829. The cubic root of 46704672 is about 360.1251416789.

The spelling of 46704672 in words is "forty-six million, seven hundred four thousand, six hundred seventy-two".