47964400 has 90 divisors (see below), whose sum is σ = 126790496. Its totient is φ = 17424000.

The previous prime is 47964377. The next prime is 47964403. The reversal of 47964400 is 446974.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47964403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 47905 + ... + 48895.

Almost surely, 2^47964400 is an apocalyptic number.

47964400 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 47964400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63395248).

47964400 is an abundant number, since it is smaller than the sum of its proper divisors (78826096).

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

47964400 is a wasteful number, since it uses less digits than its factorization.

47964400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 47964400 is about 6925.6335450268. The cubic root of 47964400 is about 363.3342498270.

The spelling of 47964400 in words is "forty-seven million, nine hundred sixty-four thousand, four hundred".