47755360 has 96 divisors (see below), whose sum is σ = 124104960. Its totient is φ = 17284608.

The previous prime is 47755333. The next prime is 47755369. The reversal of 47755360 is 6355774.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47755369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69579 + ... + 70261.

It is an arithmetic number, because the mean of its divisors is an integer number (1292760).

Almost surely, 2^47755360 is an apocalyptic number.

47755360 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 47755360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62052480).

47755360 is an abundant number, since it is smaller than the sum of its proper divisors (76349600).

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

47755360 is a wasteful number, since it uses less digits than its factorization.

47755360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 37.

The square root of 47755360 is about 6910.5253056479. The cubic root of 47755360 is about 362.8056494661.

The spelling of 47755360 in words is "forty-seven million, seven hundred fifty-five thousand, three hundred sixty".