47392800 has 432 divisors, whose sum is σ = 199487232. Its totient is φ = 9676800.

The previous prime is 47392799. The next prime is 47392801. The reversal of 47392800 is 829374.

It is an interprime number because it is at equal distance from previous prime (47392799) and next prime (47392801).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47392801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1528785 + ... + 1528815.

It is an arithmetic number, because the mean of its divisors is an integer number (461776).

Almost surely, 2^47392800 is an apocalyptic number.

47392800 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 47392800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99743616).

47392800 is an abundant number, since it is smaller than the sum of its proper divisors (152094432).

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

47392800 is a wasteful number, since it uses less digits than its factorization.

47392800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 47392800 is about 6884.2428777608. The cubic root of 47392800 is about 361.8851726195.

The spelling of 47392800 in words is "forty-seven million, three hundred ninety-two thousand, eight hundred".