47496960 has 432 divisors, whose sum is σ = 204072960. Its totient is φ = 9953280.

The previous prime is 47496959. The next prime is 47496961. The reversal of 47496960 is 6969474.

47496960 is a `hidden beast` number, since 474 + 96 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (47496959) and next prime (47496961).

It is a super-2 number, since 2×47496960² = 4511922418483200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47496961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1532145 + ... + 1532175.

Almost surely, 2^47496960 is an apocalyptic number.

47496960 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 47496960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102036480).

47496960 is an abundant number, since it is smaller than the sum of its proper divisors (156576000).

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

47496960 is a wasteful number, since it uses less digits than its factorization.

47496960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 47496960 is about 6891.8038277362. The cubic root of 47496960 is about 362.1500959737.

The spelling of 47496960 in words is "forty-seven million, four hundred ninety-six thousand, nine hundred sixty".