114048480 has 288 divisors, whose sum is σ = 451259424. Its totient is φ = 23998464.

The previous prime is 114048449. The next prime is 114048481. The reversal of 114048480 is 84840411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114048481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305574 + ... + 305946.

It is an arithmetic number, because the mean of its divisors is an integer number (1566873).

Almost surely, 2^114048480 is an apocalyptic number.

114048480 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 114048480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225629712).

114048480 is an abundant number, since it is smaller than the sum of its proper divisors (337210944).

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

114048480 is a wasteful number, since it uses less digits than its factorization.

114048480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 114048480 is about 10679.3482947229. The cubic root of 114048480 is about 484.9494828171.

Adding to 114048480 its reverse (84840411), we get a palindrome (198888891).

The spelling of 114048480 in words is "one hundred fourteen million, forty-eight thousand, four hundred eighty".