114479040 has 112 divisors (see below), whose sum is σ = 391472928. Its totient is φ = 28176384.

The previous prime is 114479023. The next prime is 114479059. The reversal of 114479040 is 40974411.

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

It is a junction number, because it is equal to n+sod(n) for n = 114478989 and 114479007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7894 + ... + 17066.

It is an arithmetic number, because the mean of its divisors is an integer number (3495294).

Almost surely, 2^114479040 is an apocalyptic number.

114479040 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 114479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195736464).

114479040 is an abundant number, since it is smaller than the sum of its proper divisors (276993888).

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

114479040 is a wasteful number, since it uses less digits than its factorization.

114479040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9206 (or 9196 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 114479040 is about 10699.4878382098. The cubic root of 114479040 is about 485.5589828086.

The spelling of 114479040 in words is "one hundred fourteen million, four hundred seventy-nine thousand, forty".