114635430 has 96 divisors (see below), whose sum is σ = 366859584. Its totient is φ = 24185088.

The previous prime is 114635419. The next prime is 114635431. The reversal of 114635430 is 34536411.

114635430 is a `hidden beast` number, since 114 + 6 + 3 + 543 + 0 = 666.

It is a super-2 number, since 2×114635430² = 26282563622569800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114635394 and 114635403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114635431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1192 + ... + 15188.

It is an arithmetic number, because the mean of its divisors is an integer number (3821454).

Almost surely, 2^114635430 is an apocalyptic number.

114635430 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 114635430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183429792).

114635430 is an abundant number, since it is smaller than the sum of its proper divisors (252224154).

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

114635430 is a wasteful number, since it uses less digits than its factorization.

114635430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14030 (or 14027 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 114635430 is about 10706.7936376863. The cubic root of 114635430 is about 485.7799898346.

The spelling of 114635430 in words is "one hundred fourteen million, six hundred thirty-five thousand, four hundred thirty".