48600400 has 30 divisors (see below), whose sum is σ = 116763422. Its totient is φ = 19440000.

The previous prime is 48600379. The next prime is 48600413. The reversal of 48600400 is 400684.

It can be written as a sum of positive squares in 3 ways, for example, as 3549456 + 45050944 = 1884^2 + 6712^2 .

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, 60351 + ... + 61150.

Almost surely, 2^48600400 is an apocalyptic number.

48600400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48600400 is an abundant number, since it is smaller than the sum of its proper divisors (68163022).

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

48600400 is a wasteful number, since it uses less digits than its factorization.

48600400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121519 (or 121508 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 48600400 is about 6971.3987118798. The cubic root of 48600400 is about 364.9331209172.

The spelling of 48600400 in words is "forty-eight million, six hundred thousand, four hundred".