114720480 has 288 divisors, whose sum is σ = 471744000. Its totient is φ = 24800256.

The previous prime is 114720479. The next prime is 114720493. The reversal of 114720480 is 84027411.

114720480 is a `hidden beast` number, since 114 + 72 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

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, 191221 + ... + 191819.

It is an arithmetic number, because the mean of its divisors is an integer number (1638000).

Almost surely, 2^114720480 is an apocalyptic number.

114720480 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 114720480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235872000).

114720480 is an abundant number, since it is smaller than the sum of its proper divisors (357023520).

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

114720480 is a wasteful number, since it uses less digits than its factorization.

114720480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 114720480 is about 10710.7646785839. The cubic root of 114720480 is about 485.9000963170.

Adding to 114720480 its reverse (84027411), we get a palindrome (198747891).

The spelling of 114720480 in words is "one hundred fourteen million, seven hundred twenty thousand, four hundred eighty".