47501520 has 160 divisors (see below), whose sum is σ = 169274880. Its totient is φ = 10897920.

The previous prime is 47501513. The next prime is 47501521. The reversal of 47501520 is 2510574.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47501521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49687 + ... + 50633.

It is an arithmetic number, because the mean of its divisors is an integer number (1057968).

Almost surely, 2^47501520 is an apocalyptic number.

47501520 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 47501520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84637440).

47501520 is an abundant number, since it is smaller than the sum of its proper divisors (121773360).

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

47501520 is a wasteful number, since it uses less digits than its factorization.

47501520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 47501520 is about 6892.1346475530. The cubic root of 47501520 is about 362.1616851477.

The spelling of 47501520 in words is "forty-seven million, five hundred one thousand, five hundred twenty".