48046400 has 42 divisors (see below), whose sum is σ = 118228110. Its totient is φ = 19217920.

The previous prime is 48046399. The next prime is 48046423. The reversal of 48046400 is 464084.

It can be written as a sum of positive squares in 3 ways, for example, as 14684224 + 33362176 = 3832^2 + 5776^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 48046400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13415 + ... + 16614.

It is an arithmetic number, because the mean of its divisors is an integer number (2814955).

Almost surely, 2^48046400 is an apocalyptic number.

48046400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48046400 is an abundant number, since it is smaller than the sum of its proper divisors (70181710).

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

48046400 is a wasteful number, since it uses less digits than its factorization.

48046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30051 (or 30036 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 48046400 is about 6931.5510529751. The cubic root of 48046400 is about 363.5411841805.

The spelling of 48046400 in words is "forty-eight million, forty-six thousand, four hundred".