114467904 has 140 divisors (see below), whose sum is σ = 345204288. Its totient is φ = 37497600.

The previous prime is 114467897. The next prime is 114467911. The reversal of 114467904 is 409764411.

It is an interprime number because it is at equal distance from previous prime (114467897) and next prime (114467911).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 367909 + ... + 368219.

Almost surely, 2^114467904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114467904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172602144).

114467904 is an abundant number, since it is smaller than the sum of its proper divisors (230736384).

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

114467904 is an equidigital number, since it uses as much as digits as its factorization.

114467904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 114467904 is about 10698.9674268127. The cubic root of 114467904 is about 485.5432379754.

The spelling of 114467904 in words is "one hundred fourteen million, four hundred sixty-seven thousand, nine hundred four".