47645400 has 96 divisors (see below), whose sum is σ = 161150400. Its totient is φ = 11548800.

The previous prime is 47645393. The next prime is 47645413. The reversal of 47645400 is 454674.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 2991 + ... + 10209.

It is an arithmetic number, because the mean of its divisors is an integer number (1678650).

Almost surely, 2^47645400 is an apocalyptic number.

47645400 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 47645400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80575200).

47645400 is an abundant number, since it is smaller than the sum of its proper divisors (113505000).

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

47645400 is a wasteful number, since it uses less digits than its factorization.

47645400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7249 (or 7240 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 47645400 is about 6902.5647407322. The cubic root of 47645400 is about 362.5269738152.

The spelling of 47645400 in words is "forty-seven million, six hundred forty-five thousand, four hundred".