47331264 has 84 divisors (see below), whose sum is σ = 133186424. Its totient is φ = 14831616.

The previous prime is 47331239. The next prime is 47331269. The reversal of 47331264 is 46213374.

47331264 = 252² + 253² + ... + 540².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47331269) 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, 55062 + ... + 55914.

Almost surely, 2^47331264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47331264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66593212).

47331264 is an abundant number, since it is smaller than the sum of its proper divisors (85855160).

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

47331264 is a wasteful number, since it uses less digits than its factorization.

47331264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 875 counting only the distinct ones).

The product of its digits is 12096, while the sum is 30.

The square root of 47331264 is about 6879.7720892483. The cubic root of 47331264 is about 361.7284778534.

The spelling of 47331264 in words is "forty-seven million, three hundred thirty-one thousand, two hundred sixty-four".