114693480 has 144 divisors (see below), whose sum is σ = 409876740. Its totient is φ = 27793920.

The previous prime is 114693421. The next prime is 114693493. The reversal of 114693480 is 84396411.

114693480 is a `hidden beast` number, since 114 + 69 + 3 + 480 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 107371044 + 7322436 = 10362^2 + 2706^2 .

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

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 35 ways as a sum of consecutive naturals, for example, 42244 + ... + 44876.

Almost surely, 2^114693480 is an apocalyptic number.

114693480 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 114693480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204938370).

114693480 is an abundant number, since it is smaller than the sum of its proper divisors (295183260).

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

114693480 is a wasteful number, since it uses less digits than its factorization.

114693480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2672 (or 2654 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 114693480 is about 10709.5041902041. The cubic root of 114693480 is about 485.8619737081.

The spelling of 114693480 in words is "one hundred fourteen million, six hundred ninety-three thousand, four hundred eighty".