48368400 has 120 divisors (see below), whose sum is σ = 164123424. Its totient is φ = 12134400.

The previous prime is 48368381. The next prime is 48368431. The reversal of 48368400 is 486384.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19215 + ... + 21585.

Almost surely, 2^48368400 is an apocalyptic number.

48368400 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 48368400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82061712).

48368400 is an abundant number, since it is smaller than the sum of its proper divisors (115755024).

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

48368400 is a wasteful number, since it uses less digits than its factorization.

48368400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2409 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 48368400 is about 6954.7393912353. The cubic root of 48368400 is about 364.3515100576.

The spelling of 48368400 in words is "forty-eight million, three hundred sixty-eight thousand, four hundred".