114434400 has 72 divisors (see below), whose sum is σ = 372491784. Its totient is φ = 30515200.

The previous prime is 114434399. The next prime is 114434401. The reversal of 114434400 is 4434411.

It is an interprime number because it is at equal distance from previous prime (114434399) and next prime (114434401).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114434401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21441 + ... + 26240.

It is an arithmetic number, because the mean of its divisors is an integer number (5173497).

Almost surely, 2^114434400 is an apocalyptic number.

114434400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114434400 is an abundant number, since it is smaller than the sum of its proper divisors (258057384).

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

114434400 is a wasteful number, since it uses less digits than its factorization.

114434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47704 (or 47691 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 114434400 is about 10697.4015536484. The cubic root of 114434400 is about 485.4958615858.

Adding to 114434400 its reverse (4434411), we get a palindrome (118868811).

The spelling of 114434400 in words is "one hundred fourteen million, four hundred thirty-four thousand, four hundred".