456355240 has 64 divisors (see below), whose sum is σ = 1124435520. Its totient is φ = 165312000.

The previous prime is 456355217. The next prime is 456355241. The reversal of 456355240 is 42553654.

It is a junction number, because it is equal to n+sod(n) for n = 456355196 and 456355205.

It is not an unprimeable number, because it can be changed into a prime (456355241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121795 + ... + 125485.

It is an arithmetic number, because the mean of its divisors is an integer number (17569305).

Almost surely, 2^456355240 is an apocalyptic number.

456355240 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 456355240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562217760).

456355240 is an abundant number, since it is smaller than the sum of its proper divisors (668080280).

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

456355240 is a wasteful number, since it uses less digits than its factorization.

456355240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3994 (or 3990 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

The square root of 456355240 is about 21362.4727033178. The cubic root of 456355240 is about 769.9000488692.

The spelling of 456355240 in words is "four hundred fifty-six million, three hundred fifty-five thousand, two hundred forty".