47535880 has 96 divisors (see below), whose sum is σ = 126403200. Its totient is φ = 16039296.

The previous prime is 47535863. The next prime is 47535883. The reversal of 47535880 is 8853574.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (47535883) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154687 + ... + 154993.

It is an arithmetic number, because the mean of its divisors is an integer number (1316700).

Almost surely, 2^47535880 is an apocalyptic number.

47535880 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 47535880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63201600).

47535880 is an abundant number, since it is smaller than the sum of its proper divisors (78867320).

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

47535880 is a wasteful number, since it uses less digits than its factorization.

47535880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The square root of 47535880 is about 6894.6268934584. The cubic root of 47535880 is about 362.2489867491.

The spelling of 47535880 in words is "forty-seven million, five hundred thirty-five thousand, eight hundred eighty".