48598400 has 48 divisors (see below), whose sum is σ = 120061140. Its totient is φ = 19438080.

The previous prime is 48598399. The next prime is 48598411. The reversal of 48598400 is 489584.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 4394 + ... + 10793.

Almost surely, 2^48598400 is an apocalyptic number.

48598400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48598400 is an abundant number, since it is smaller than the sum of its proper divisors (71462740).

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

48598400 is a wasteful number, since it uses less digits than its factorization.

48598400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15211 (or 15194 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 48598400 is about 6971.2552671667. The cubic root of 48598400 is about 364.9281149484.

The spelling of 48598400 in words is "forty-eight million, five hundred ninety-eight thousand, four hundred".