114809400 has 240 divisors, whose sum is σ = 420862200. Its totient is φ = 28926720.

The previous prime is 114809371. The next prime is 114809407. The reversal of 114809400 is 4908411.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114809407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 307614 + ... + 307986.

Almost surely, 2^114809400 is an apocalyptic number.

114809400 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 114809400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210431100).

114809400 is an abundant number, since it is smaller than the sum of its proper divisors (306052800).

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

114809400 is a wasteful number, since it uses less digits than its factorization.

114809400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 114809400 is about 10714.9148386723. The cubic root of 114809400 is about 486.0256045038.

The spelling of 114809400 in words is "one hundred fourteen million, eight hundred nine thousand, four hundred".