48474400 has 144 divisors (see below), whose sum is σ = 131241600. Its totient is φ = 17372160.

The previous prime is 48474397. The next prime is 48474431. The reversal of 48474400 is 447484.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 613561 + ... + 613639.

It is an arithmetic number, because the mean of its divisors is an integer number (911400).

Almost surely, 2^48474400 is an apocalyptic number.

48474400 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 48474400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65620800).

48474400 is an abundant number, since it is smaller than the sum of its proper divisors (82767200).

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

48474400 is a wasteful number, since it uses less digits than its factorization.

48474400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 31.

The square root of 48474400 is about 6962.3559231053. The cubic root of 48474400 is about 364.6174762764.

The spelling of 48474400 in words is "forty-eight million, four hundred seventy-four thousand, four hundred".