47674400 has 72 divisors (see below), whose sum is σ = 121492224. Its totient is φ = 18233600.

The previous prime is 47674397. The next prime is 47674421. The reversal of 47674400 is 447674.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 17105 + ... + 19695.

It is an arithmetic number, because the mean of its divisors is an integer number (1687392).

Almost surely, 2^47674400 is an apocalyptic number.

47674400 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 47674400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60746112).

47674400 is an abundant number, since it is smaller than the sum of its proper divisors (73817824).

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

47674400 is a wasteful number, since it uses less digits than its factorization.

47674400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2634 (or 2621 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 32.

The square root of 47674400 is about 6904.6650896332. The cubic root of 47674400 is about 362.6005111693.

The spelling of 47674400 in words is "forty-seven million, six hundred seventy-four thousand, four hundred".