114385410 has 48 divisors (see below), whose sum is σ = 299605176. Its totient is φ = 30276864.

The previous prime is 114385409. The next prime is 114385423. The reversal of 114385410 is 14583411.

It is a happy number.

114385410 is a `hidden beast` number, since 114 + 3 + 8 + 541 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 107557641 + 6827769 = 10371^2 + 2613^2 .

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, 7692 + ... + 16968.

Almost surely, 2^114385410 is an apocalyptic number.

114385410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114385410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149802588).

114385410 is an abundant number, since it is smaller than the sum of its proper divisors (185219766).

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

114385410 is a wasteful number, since it uses less digits than its factorization.

114385410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9427 (or 9424 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 114385410 is about 10695.1115001200. Note that the first 3 decimals coincide. The cubic root of 114385410 is about 485.4265705417.

The spelling of 114385410 in words is "one hundred fourteen million, three hundred eighty-five thousand, four hundred ten".