47630400 has 84 divisors (see below), whose sum is σ = 156283152. Its totient is φ = 12700160.

The previous prime is 47630389. The next prime is 47630417. The reversal of 47630400 is 403674.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 162 + ... + 9761.

Almost surely, 2^47630400 is an apocalyptic number.

47630400 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 47630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78141576).

47630400 is an abundant number, since it is smaller than the sum of its proper divisors (108652752).

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

47630400 is a wasteful number, since it uses less digits than its factorization.

47630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9948 (or 9933 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 47630400 is about 6901.4781025517. The cubic root of 47630400 is about 362.4889255436.

It can be divided in two parts, 476 and 30400, that added together give a triangular number (30876 = T₂₄₈).

The spelling of 47630400 in words is "forty-seven million, six hundred thirty thousand, four hundred".