114584500 has 48 divisors (see below), whose sum is σ = 252841680. Its totient is φ = 45360000.

The previous prime is 114584489. The next prime is 114584527. The reversal of 114584500 is 5485411.

It can be written as a sum of positive squares in 8 ways, for example, as 36650916 + 77933584 = 6054^2 + 8828^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49366 + ... + 51634.

It is an arithmetic number, because the mean of its divisors is an integer number (5267535).

Almost surely, 2^114584500 is an apocalyptic number.

114584500 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 114584500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126420840).

114584500 is an abundant number, since it is smaller than the sum of its proper divisors (138257180).

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

114584500 is a wasteful number, since it uses less digits than its factorization.

114584500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2389 (or 2377 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

The square root of 114584500 is about 10704.4149770083. The cubic root of 114584500 is about 485.7080387234.

The spelling of 114584500 in words is "one hundred fourteen million, five hundred eighty-four thousand, five hundred".