114004800 has 672 divisors, whose sum is σ = 529132800. Its totient is φ = 23224320.

The previous prime is 114004783. The next prime is 114004811. The reversal of 114004800 is 8400411.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3931186 + ... + 3931214.

It is an arithmetic number, because the mean of its divisors is an integer number (787400).

Almost surely, 2^114004800 is an apocalyptic number.

114004800 is a gapful number since it is divisible by the number (10) 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 114004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264566400).

114004800 is an abundant number, since it is smaller than the sum of its proper divisors (415128000).

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

114004800 is a wasteful number, since it uses less digits than its factorization.

114004800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 114004800 is about 10677.3030302600. The cubic root of 114004800 is about 484.8875638325.

The spelling of 114004800 in words is "one hundred fourteen million, four thousand, eight hundred".