114182460 has 120 divisors (see below), whose sum is σ = 409405920. Its totient is φ = 26096256.

The previous prime is 114182459. The next prime is 114182473. The reversal of 114182460 is 64281411.

It is a happy number.

114182460 is a `hidden beast` number, since 1 + 1 + 418 + 246 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6306 + ... + 16374.

It is an arithmetic number, because the mean of its divisors is an integer number (3411716).

Almost surely, 2^114182460 is an apocalyptic number.

114182460 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 114182460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204702960).

114182460 is an abundant number, since it is smaller than the sum of its proper divisors (295223460).

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

114182460 is a wasteful number, since it uses less digits than its factorization.

114182460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10097 (or 10086 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 114182460 is about 10685.6193082105. The cubic root of 114182460 is about 485.1393088322.

The spelling of 114182460 in words is "one hundred fourteen million, one hundred eighty-two thousand, four hundred sixty".