114464000 has 216 divisors, whose sum is σ = 336242088. Its totient is φ = 38707200.

The previous prime is 114463981. The next prime is 114464017. The reversal of 114464000 is 464411.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3625216 + 110838784 = 1904^2 + 10528^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1567964 + ... + 1568036.

Almost surely, 2^114464000 is an apocalyptic number.

114464000 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 114464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168121044).

114464000 is an abundant number, since it is smaller than the sum of its proper divisors (221778088).

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

114464000 is an frugal number, since it uses more digits than its factorization.

114464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 114464000 is about 10698.7849777440. The cubic root of 114464000 is about 485.5377179933.

The spelling of 114464000 in words is "one hundred fourteen million, four hundred sixty-four thousand".