47364840 has 96 divisors (see below), whose sum is σ = 157739400. Its totient is φ = 12318720.

The previous prime is 47364829. The next prime is 47364857. The reversal of 47364840 is 4846374.

47364840 is a `hidden beast` number, since 4 + 7 + 3 + 648 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27060804 + 20304036 = 5202^2 + 4506^2 .

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

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

It is a junction number, because it is equal to n+sod(n) for n = 47364795 and 47364804.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13156 + ... + 16364.

Almost surely, 2^47364840 is an apocalyptic number.

47364840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47364840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78869700).

47364840 is an abundant number, since it is smaller than the sum of its proper divisors (110374560).

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

47364840 is a wasteful number, since it uses less digits than its factorization.

47364840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3267 (or 3260 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 47364840 is about 6882.2118537575. The cubic root of 47364840 is about 361.8139923285.

The spelling of 47364840 in words is "forty-seven million, three hundred sixty-four thousand, eight hundred forty".