114080400 has 300 divisors, whose sum is σ = 468844992. Its totient is φ = 26023680.

The previous prime is 114080399. The next prime is 114080521. The reversal of 114080400 is 4080411.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 226549 + ... + 227051.

Almost surely, 2^114080400 is an apocalyptic number.

114080400 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 114080400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234422496).

114080400 is an abundant number, since it is smaller than the sum of its proper divisors (354764592).

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

114080400 is a wasteful number, since it uses less digits than its factorization.

114080400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 520 counting only the distinct ones).

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

The square root of 114080400 is about 10680.8426633857. The cubic root of 114080400 is about 484.9947213086.

The spelling of 114080400 in words is "one hundred fourteen million, eighty thousand, four hundred".