114297480 has 192 divisors, whose sum is σ = 420638400. Its totient is φ = 27682560.

The previous prime is 114297479. The next prime is 114297499. The reversal of 114297480 is 84792411.

It is a Cunningham number, because it is equal to 10691²-1.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106386 + ... + 107454.

It is an arithmetic number, because the mean of its divisors is an integer number (2190825).

Almost surely, 2^114297480 is an apocalyptic number.

114297480 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 114297480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210319200).

114297480 is an abundant number, since it is smaller than the sum of its proper divisors (306340920).

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

114297480 is a wasteful number, since it uses less digits than its factorization.

114297480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 114297480 is about 10690.9999532317. Note that the first 4 decimals coincide. The cubic root of 114297480 is about 485.3021534498.

The spelling of 114297480 in words is "one hundred fourteen million, two hundred ninety-seven thousand, four hundred eighty".