114470400 has 240 divisors, whose sum is σ = 414044928. Its totient is φ = 27648000.

The previous prime is 114470399. The next prime is 114470413. The reversal of 114470400 is 4074411.

It is a tau number, because it is divible by the number of its divisors (240).

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 23 ways as a sum of consecutive naturals, for example, 422265 + ... + 422535.

Almost surely, 2^114470400 is an apocalyptic number.

114470400 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 114470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207022464).

114470400 is an abundant number, since it is smaller than the sum of its proper divisors (299574528).

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

114470400 is a wasteful number, since it uses less digits than its factorization.

114470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 114470400 is about 10699.0840729476. The cubic root of 114470400 is about 485.5467670785.

The spelling of 114470400 in words is "one hundred fourteen million, four hundred seventy thousand, four hundred".