114804480 has 144 divisors (see below), whose sum is σ = 419134464. Its totient is φ = 26234880.

The previous prime is 114804461. The next prime is 114804509. The reversal of 114804480 is 84408411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24745 + ... + 29015.

It is an arithmetic number, because the mean of its divisors is an integer number (2910656).

Almost surely, 2^114804480 is an apocalyptic number.

114804480 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 114804480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209567232).

114804480 is an abundant number, since it is smaller than the sum of its proper divisors (304329984).

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

114804480 is an equidigital number, since it uses as much as digits as its factorization.

114804480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4302 (or 4288 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 114804480 is about 10714.6852496935. The cubic root of 114804480 is about 486.0186617502.

The spelling of 114804480 in words is "one hundred fourteen million, eight hundred four thousand, four hundred eighty".