456276240 has 360 divisors, whose sum is σ = 1852381440. Its totient is φ = 104073984.

The previous prime is 456276239. The next prime is 456276281. The reversal of 456276240 is 42672654.

456276240 = 274³ + 275³ + ... + 293³.

456276240 is a `hidden beast` number, since 4 + 5 + 6 + 27 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 = 456276195 and 456276204.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 952321 + ... + 952799.

It is an arithmetic number, because the mean of its divisors is an integer number (5145504).

Almost surely, 2^456276240 is an apocalyptic number.

456276240 is a gapful number since it is divisible by the number (40) 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 456276240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926190720).

456276240 is an abundant number, since it is smaller than the sum of its proper divisors (1396105200).

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

456276240 is a wasteful number, since it uses less digits than its factorization.

456276240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 456276240 is about 21360.6235864031. The cubic root of 456276240 is about 769.8556203125.

The spelling of 456276240 in words is "four hundred fifty-six million, two hundred seventy-six thousand, two hundred forty".