47625600 has 288 divisors, whose sum is σ = 176629320. Its totient is φ = 11264000.

The previous prime is 47625581. The next prime is 47625629. The reversal of 47625600 is 652674.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1161580 + ... + 1161620.

Almost surely, 2^47625600 is an apocalyptic number.

47625600 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 47625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88314660).

47625600 is an abundant number, since it is smaller than the sum of its proper divisors (129003720).

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

47625600 is a wasteful number, since it uses less digits than its factorization.

47625600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 47625600 is about 6901.1303421976. The cubic root of 47625600 is about 362.4767484095.

The spelling of 47625600 in words is "forty-seven million, six hundred twenty-five thousand, six hundred".