48092400 has 240 divisors, whose sum is σ = 176362720. Its totient is φ = 12441600.

The previous prime is 48092393. The next prime is 48092413. The reversal of 48092400 is 429084.

48092400 is nontrivially palindromic in base 14.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×48092400³ (a number of 24 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 658764 + ... + 658836.

Almost surely, 2^48092400 is an apocalyptic number.

48092400 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 48092400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88181360).

48092400 is an abundant number, since it is smaller than the sum of its proper divisors (128270320).

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

48092400 is a wasteful number, since it uses less digits than its factorization.

48092400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 48092400 is about 6934.8684198044. The cubic root of 48092400 is about 363.6571662342.

The spelling of 48092400 in words is "forty-eight million, ninety-two thousand, four hundred".