114924420 has 288 divisors, whose sum is σ = 416078208. Its totient is φ = 26376192.

The previous prime is 114924391. The next prime is 114924421. The reversal of 114924420 is 24429411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (114924421) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1074007 + ... + 1074113.

It is an arithmetic number, because the mean of its divisors is an integer number (1444716).

Almost surely, 2^114924420 is an apocalyptic number.

114924420 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 114924420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208039104).

114924420 is an abundant number, since it is smaller than the sum of its proper divisors (301153788).

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

114924420 is a wasteful number, since it uses less digits than its factorization.

114924420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 114924420 is about 10720.2807799050. The cubic root of 114924420 is about 486.1878560471.

The spelling of 114924420 in words is "one hundred fourteen million, nine hundred twenty-four thousand, four hundred twenty".