47456352 has 72 divisors (see below), whose sum is σ = 138279960. Its totient is φ = 15429120.

The previous prime is 47456341. The next prime is 47456369. The reversal of 47456352 is 25365474.

47456352 is a `hidden beast` number, since 47 + 4 + 563 + 52 = 666.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9799 + ... + 13817.

It is an arithmetic number, because the mean of its divisors is an integer number (1920555).

Almost surely, 2^47456352 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 47456352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69139980).

47456352 is an abundant number, since it is smaller than the sum of its proper divisors (90823608).

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

47456352 is a wasteful number, since it uses less digits than its factorization.

47456352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4076 (or 4065 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 47456352 is about 6888.8570895323. The cubic root of 47456352 is about 362.0468586005.

The spelling of 47456352 in words is "forty-seven million, four hundred fifty-six thousand, three hundred fifty-two".