47630700 has 288 divisors, whose sum is σ = 174988800. Its totient is φ = 11024640.

The previous prime is 47630699. The next prime is 47630717. The reversal of 47630700 is 703674.

47630700 = 61³ + 62³ + ... + 119³.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 807271 + ... + 807329.

It is an arithmetic number, because the mean of its divisors is an integer number (607600).

Almost surely, 2^47630700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47630700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87494400).

47630700 is an abundant number, since it is smaller than the sum of its proper divisors (127358100).

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

47630700 is a wasteful number, since it uses less digits than its factorization.

47630700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 47630700 is about 6901.4998369920. The cubic root of 47630700 is about 362.4896865873.

The spelling of 47630700 in words is "forty-seven million, six hundred thirty thousand, seven hundred".