47646400 has 84 divisors (see below), whose sum is σ = 118834408. Its totient is φ = 18800640.

The previous prime is 47646397. The next prime is 47646413. The reversal of 47646400 is 464674.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 155047 + ... + 155353.

Almost surely, 2^47646400 is an apocalyptic number.

47646400 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 47646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59417204).

47646400 is an abundant number, since it is smaller than the sum of its proper divisors (71188008).

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

47646400 is a wasteful number, since it uses less digits than its factorization.

47646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 47646400 is about 6902.6371771954. The cubic root of 47646400 is about 362.5295100827.

The spelling of 47646400 in words is "forty-seven million, six hundred forty-six thousand, four hundred".