47906400 has 72 divisors (see below), whose sum is σ = 155943144. Its totient is φ = 12774400.

The previous prime is 47906399. The next prime is 47906437. The reversal of 47906400 is 460974.

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 11 ways as a sum of consecutive naturals, for example, 7581 + ... + 12380.

It is an arithmetic number, because the mean of its divisors is an integer number (2165877).

Almost surely, 2^47906400 is an apocalyptic number.

47906400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47906400 is an abundant number, since it is smaller than the sum of its proper divisors (108036744).

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

47906400 is a wasteful number, since it uses less digits than its factorization.

47906400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19984 (or 19971 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 47906400 is about 6921.4449358497. Note that the first 3 decimals coincide. The cubic root of 47906400 is about 363.1877391761.

The spelling of 47906400 in words is "forty-seven million, nine hundred six thousand, four hundred".