47812464 has 160 divisors (see below), whose sum is σ = 159434240. Its totient is φ = 13436928.

The previous prime is 47812451. The next prime is 47812477. The reversal of 47812464 is 46421874.

47812464 is a `hidden beast` number, since 478 + 124 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (47812451) and next prime (47812477).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293247 + ... + 293409.

It is an arithmetic number, because the mean of its divisors is an integer number (996464).

Almost surely, 2^47812464 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 47812464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79717120).

47812464 is an abundant number, since it is smaller than the sum of its proper divisors (111621776).

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

47812464 is a wasteful number, since it uses less digits than its factorization.

47812464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 272 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 47812464 is about 6914.6557398037. The cubic root of 47812464 is about 362.9502014878.

The spelling of 47812464 in words is "forty-seven million, eight hundred twelve thousand, four hundred sixty-four".