46007472 has 120 divisors (see below), whose sum is σ = 142943232. Its totient is φ = 12700800.

The previous prime is 46007461. The next prime is 46007497. The reversal of 46007472 is 27470064.

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 23 ways as a sum of consecutive naturals, for example, 72597 + ... + 73227.

Almost surely, 2^46007472 is an apocalyptic number.

46007472 is a gapful number since it is divisible by the number (42) 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 46007472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71471616).

46007472 is an abundant number, since it is smaller than the sum of its proper divisors (96935760).

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

46007472 is a wasteful number, since it uses less digits than its factorization.

46007472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 46007472 is about 6782.8808039063. The cubic root of 46007472 is about 358.3241864380.

The spelling of 46007472 in words is "forty-six million, seven thousand, four hundred seventy-two".