114877440 has 220 divisors, whose sum is σ = 413141916. Its totient is φ = 30523392.

The previous prime is 114877423. The next prime is 114877481. The reversal of 114877440 is 44778411.

114877440 is a `hidden beast` number, since 1 + 148 + 77 + 440 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29942784 + 84934656 = 5472^2 + 9216^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 114877395 and 114877404.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 414582 + ... + 414858.

Almost surely, 2^114877440 is an apocalyptic number.

114877440 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 114877440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206570958).

114877440 is an abundant number, since it is smaller than the sum of its proper divisors (298264476).

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

114877440 is an equidigital number, since it uses as much as digits as its factorization.

114877440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 114877440 is about 10718.0893819748. The cubic root of 114877440 is about 486.1215973744.

The spelling of 114877440 in words is "one hundred fourteen million, eight hundred seventy-seven thousand, four hundred forty".