47955264 has 112 divisors (see below), whose sum is σ = 149815296. Its totient is φ = 13248000.

The previous prime is 47955263. The next prime is 47955269. The reversal of 47955264 is 46255974.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47955263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41089 + ... + 42239.

Almost surely, 2^47955264 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 47955264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74907648).

47955264 is an abundant number, since it is smaller than the sum of its proper divisors (101860032).

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

47955264 is a wasteful number, since it uses less digits than its factorization.

47955264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204 (or 1194 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

The square root of 47955264 is about 6924.9739349690. The cubic root of 47955264 is about 363.3111797133.

The spelling of 47955264 in words is "forty-seven million, nine hundred fifty-five thousand, two hundred sixty-four".