114774480 has 120 divisors (see below), whose sum is σ = 408168072. Its totient is φ = 28803072.

The previous prime is 114774397. The next prime is 114774487. The reversal of 114774480 is 84477411.

It can be written as a sum of positive squares in 4 ways, for example, as 6780816 + 107993664 = 2604^2 + 10392^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114774487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7552 + ... + 16928.

Almost surely, 2^114774480 is an apocalyptic number.

114774480 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 114774480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204084036).

114774480 is an abundant number, since it is smaller than the sum of its proper divisors (293393592).

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

114774480 is a wasteful number, since it uses less digits than its factorization.

114774480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9413 (or 9404 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 114774480 is about 10713.2852104292. The cubic root of 114774480 is about 485.9763235938.

The spelling of 114774480 in words is "one hundred fourteen million, seven hundred seventy-four thousand, four hundred eighty".