47712400 has 60 divisors (see below), whose sum is σ = 115862004. Its totient is φ = 18880000.

The previous prime is 47712391. The next prime is 47712407. The reversal of 47712400 is 421774.

It can be written as a sum of positive squares in 6 ways, for example, as 7160976 + 40551424 = 2676^2 + 6368^2 .

It is a super-2 number, since 2×47712400² = 4552946227520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (47712407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39810 + ... + 40990.

Almost surely, 2^47712400 is an apocalyptic number.

47712400 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 47712400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57931002).

47712400 is an abundant number, since it is smaller than the sum of its proper divisors (68149604).

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

47712400 is a wasteful number, since it uses less digits than its factorization.

47712400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 25.

The square root of 47712400 is about 6907.4163042342. The cubic root of 47712400 is about 362.6968253346.

The spelling of 47712400 in words is "forty-seven million, seven hundred twelve thousand, four hundred".