114406920 has 48 divisors (see below), whose sum is σ = 371823660. Its totient is φ = 30508416.

The previous prime is 114406867. The next prime is 114406921. The reversal of 114406920 is 29604411.

It can be written as a sum of positive squares in 2 ways, for example, as 108618084 + 5788836 = 10422^2 + 2406^2 .

It is not an unprimeable number, because it can be changed into a prime (114406921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 158539 + ... + 159258.

Almost surely, 2^114406920 is an apocalyptic number.

114406920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114406920 is an abundant number, since it is smaller than the sum of its proper divisors (257416740).

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

114406920 is a wasteful number, since it uses less digits than its factorization.

114406920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317814 (or 317807 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 114406920 is about 10696.1170524635. The cubic root of 114406920 is about 485.4569965407.

The spelling of 114406920 in words is "one hundred fourteen million, four hundred six thousand, nine hundred twenty".