47678400 has 504 divisors, whose sum is σ = 216188544. Its totient is φ = 9676800.

The previous prime is 47678381. The next prime is 47678441. The reversal of 47678400 is 487674.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1108779 + ... + 1108821.

Almost surely, 2^47678400 is an apocalyptic number.

47678400 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 47678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108094272).

47678400 is an abundant number, since it is smaller than the sum of its proper divisors (168510144).

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

47678400 is a wasteful number, since it uses less digits than its factorization.

47678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 47678400 is about 6904.9547427916. The cubic root of 47678400 is about 362.6106519121.

The spelling of 47678400 in words is "forty-seven million, six hundred seventy-eight thousand, four hundred".