47477120 has 64 divisors (see below), whose sum is σ = 117210240. Its totient is φ = 18370560.

The previous prime is 47477113. The next prime is 47477153. The reversal of 47477120 is 2177474.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18644 + ... + 21036.

It is an arithmetic number, because the mean of its divisors is an integer number (1831410).

Almost surely, 2^47477120 is an apocalyptic number.

47477120 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 47477120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58605120).

47477120 is an abundant number, since it is smaller than the sum of its proper divisors (69733120).

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

47477120 is a wasteful number, since it uses less digits than its factorization.

47477120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2443 (or 2431 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 32.

The square root of 47477120 is about 6890.3642864510. The cubic root of 47477120 is about 362.0996642650.

The spelling of 47477120 in words is "forty-seven million, four hundred seventy-seven thousand, one hundred twenty".