114872400 has 180 divisors, whose sum is σ = 422313372. Its totient is φ = 28815360.

The previous prime is 114872369. The next prime is 114872411. The reversal of 114872400 is 4278411.

It can be written as a sum of positive squares in 6 ways, for example, as 553536 + 114318864 = 744^2 + 10692^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60262 + ... + 62138.

Almost surely, 2^114872400 is an apocalyptic number.

114872400 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 114872400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211156686).

114872400 is an abundant number, since it is smaller than the sum of its proper divisors (307440972).

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

114872400 is a wasteful number, since it uses less digits than its factorization.

114872400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918 (or 1904 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 114872400 is about 10717.8542628644. The cubic root of 114872400 is about 486.1144880914.

The spelling of 114872400 in words is "one hundred fourteen million, eight hundred seventy-two thousand, four hundred".