47361456 has 80 divisors (see below), whose sum is σ = 143964000. Its totient is φ = 14856192.

The previous prime is 47361449. The next prime is 47361467. The reversal of 47361456 is 65416374.

It is a happy number.

47361456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 47361456.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4120 + ... + 10568.

It is an arithmetic number, because the mean of its divisors is an integer number (1799550).

Almost surely, 2^47361456 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 47361456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71982000).

47361456 is an abundant number, since it is smaller than the sum of its proper divisors (96602544).

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

47361456 is a wasteful number, since it uses less digits than its factorization.

47361456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6483 (or 6471 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 47361456 is about 6881.9659981723. The cubic root of 47361456 is about 361.8053754746.

The spelling of 47361456 in words is "forty-seven million, three hundred sixty-one thousand, four hundred fifty-six".