47618464 has 72 divisors (see below), whose sum is σ = 102426660. Its totient is φ = 21762048.

The previous prime is 47618447. The next prime is 47618497. The reversal of 47618464 is 46481674.

It can be written as a sum of positive squares in 2 ways, for example, as 47610000 + 8464 = 6900^2 + 92^2 .

It is a super-2 number, since 2×47618464² = 4535036227438592, which contains 22 as substring.

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, 490864 + ... + 490960.

Almost surely, 2^47618464 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 47618464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51213330).

47618464 is an abundant number, since it is smaller than the sum of its proper divisors (54808196).

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

47618464 is a wasteful number, since it uses less digits than its factorization.

47618464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 151 counting only the distinct ones).

The product of its digits is 129024, while the sum is 40.

The square root of 47618464 is about 6900.6133060765. The cubic root of 47618464 is about 362.4586435578.

It can be divided in two parts, 4761 and 8464, that multiplied together give a square (40297104 = 6348²).

The spelling of 47618464 in words is "forty-seven million, six hundred eighteen thousand, four hundred sixty-four".