47656440 has 192 divisors, whose sum is σ = 176904000. Its totient is φ = 11022336.

The previous prime is 47656439. The next prime is 47656471. The reversal of 47656440 is 4465674.

47656440 is a `hidden beast` number, since 4 + 7 + 6 + 5 + 644 + 0 = 666.

It is a super-2 number, since 2×47656440² = 4542272546947200, which contains 22 as substring.

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 = 47656395 and 47656404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79261 + ... + 79859.

It is an arithmetic number, because the mean of its divisors is an integer number (921375).

Almost surely, 2^47656440 is an apocalyptic number.

47656440 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 47656440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88452000).

47656440 is an abundant number, since it is smaller than the sum of its proper divisors (129247560).

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

47656440 is a wasteful number, since it uses less digits than its factorization.

47656440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 47656440 is about 6903.3643971617. The cubic root of 47656440 is about 362.5549722418.

The spelling of 47656440 in words is "forty-seven million, six hundred fifty-six thousand, four hundred forty".