48192400 has 60 divisors (see below), whose sum is σ = 116534704. Its totient is φ = 19152000.

The previous prime is 48192377. The next prime is 48192451. The reversal of 48192400 is 429184.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84115 + ... + 84685.

Almost surely, 2^48192400 is an apocalyptic number.

48192400 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 48192400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58267352).

48192400 is an abundant number, since it is smaller than the sum of its proper divisors (68342304).

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

48192400 is a wasteful number, since it uses less digits than its factorization.

48192400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 48192400 is about 6942.0746178646. The cubic root of 48192400 is about 363.9090462280.

The spelling of 48192400 in words is "forty-eight million, one hundred ninety-two thousand, four hundred".