47452800 has 96 divisors (see below), whose sum is σ = 156329280. Its totient is φ = 12651520.

The previous prime is 47452799. The next prime is 47452813. The reversal of 47452800 is 825474.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) 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 (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7129 + ... + 12071.

It is an arithmetic number, because the mean of its divisors is an integer number (1628430).

Almost surely, 2^47452800 is an apocalyptic number.

47452800 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 47452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78164640).

47452800 is an abundant number, since it is smaller than the sum of its proper divisors (108876480).

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

47452800 is a wasteful number, since it uses less digits than its factorization.

47452800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4970 (or 4953 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 47452800 is about 6888.5992770664. The cubic root of 47452800 is about 362.0378255805.

The spelling of 47452800 in words is "forty-seven million, four hundred fifty-two thousand, eight hundred".