47464560 has 240 divisors, whose sum is σ = 187675488. Its totient is φ = 10598400.

The previous prime is 47464541. The next prime is 47464579. The reversal of 47464560 is 6546474.

47464560 is a `hidden beast` number, since 4 + 7 + 4 + 645 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (47464541) and next prime (47464579).

It is a tau number, because it is divible by the number of its divisors (240).

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 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, 102730 + ... + 103190.

Almost surely, 2^47464560 is an apocalyptic number.

47464560 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 47464560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93837744).

47464560 is an abundant number, since it is smaller than the sum of its proper divisors (140210928).

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

47464560 is a wasteful number, since it uses less digits than its factorization.

47464560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 495 counting only the distinct ones).

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

The square root of 47464560 is about 6889.4528084602. The cubic root of 47464560 is about 362.0677304767.

The spelling of 47464560 in words is "forty-seven million, four hundred sixty-four thousand, five hundred sixty".