47864880 has 120 divisors (see below), whose sum is σ = 183729312. Its totient is φ = 10939392.

The previous prime is 47864827. The next prime is 47864951. The reversal of 47864880 is 8846874.

It is a tau number, because it is divible by the number of its divisors (120).

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

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, 292 + ... + 9788.

Almost surely, 2^47864880 is an apocalyptic number.

47864880 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 47864880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91864656).

47864880 is an abundant number, since it is smaller than the sum of its proper divisors (135864432).

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

47864880 is a wasteful number, since it uses less digits than its factorization.

47864880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9523 (or 9514 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 47864880 is about 6918.4449119726. Note that the first 3 decimals coincide. The cubic root of 47864880 is about 363.0827851166.

The spelling of 47864880 in words is "forty-seven million, eight hundred sixty-four thousand, eight hundred eighty".