114400400 has 30 divisors (see below), whose sum is σ = 274847922. Its totient is φ = 45760000.

The previous prime is 114400399. The next prime is 114400483. The reversal of 114400400 is 4004411.

It can be written as a sum of positive squares in 3 ways, for example, as 10523536 + 103876864 = 3244^2 + 10192^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 142601 + ... + 143400.

Almost surely, 2^114400400 is an apocalyptic number.

114400400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114400400 is an abundant number, since it is smaller than the sum of its proper divisors (160447522).

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

114400400 is a wasteful number, since it uses less digits than its factorization.

114400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286019 (or 286008 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 114400400 is about 10695.8122646202. The cubic root of 114400400 is about 485.4477743720.

Adding to 114400400 its reverse (4004411), we get a palindrome (118404811).

The spelling of 114400400 in words is "one hundred fourteen million, four hundred thousand, four hundred".