114772480 has 80 divisors (see below), whose sum is σ = 278419680. Its totient is φ = 45371392.

The previous prime is 114772477. The next prime is 114772499. The reversal of 114772480 is 84277411.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 273711 + ... + 274129.

It is an arithmetic number, because the mean of its divisors is an integer number (3480246).

Almost surely, 2^114772480 is an apocalyptic number.

114772480 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 114772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139209840).

114772480 is an abundant number, since it is smaller than the sum of its proper divisors (163647200).

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

114772480 is an equidigital number, since it uses as much as digits as its factorization.

114772480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 34.

The square root of 114772480 is about 10713.1918679729. The cubic root of 114772480 is about 485.9735007878.

The spelling of 114772480 in words is "one hundred fourteen million, seven hundred seventy-two thousand, four hundred eighty".