114304820 has 48 divisors (see below), whose sum is σ = 276030720. Its totient is φ = 38947584.

The previous prime is 114304769. The next prime is 114304837. The reversal of 114304820 is 28403411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20936 + ... + 25824.

It is an arithmetic number, because the mean of its divisors is an integer number (5750640).

Almost surely, 2^114304820 is an apocalyptic number.

114304820 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 114304820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138015360).

114304820 is an abundant number, since it is smaller than the sum of its proper divisors (161725900).

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

114304820 is a wasteful number, since it uses less digits than its factorization.

114304820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5072 (or 5070 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 114304820 is about 10691.3432271160. The cubic root of 114304820 is about 485.3125416682.

The spelling of 114304820 in words is "one hundred fourteen million, three hundred four thousand, eight hundred twenty".