114419520 has 448 divisors, whose sum is σ = 460857600. Its totient is φ = 26542080.

The previous prime is 114419519. The next prime is 114419521. The reversal of 114419520 is 25914411.

It is an interprime number because it is at equal distance from previous prime (114419519) and next prime (114419521).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114419521) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2790700 + ... + 2790740.

It is an arithmetic number, because the mean of its divisors is an integer number (1028700).

Almost surely, 2^114419520 is an apocalyptic number.

114419520 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 114419520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230428800).

114419520 is an abundant number, since it is smaller than the sum of its proper divisors (346438080).

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

114419520 is a wasteful number, since it uses less digits than its factorization.

114419520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 114419520 is about 10696.7060350371. The cubic root of 114419520 is about 485.4748175304.

The spelling of 114419520 in words is "one hundred fourteen million, four hundred nineteen thousand, five hundred twenty".