456723210240 has 1344 divisors, whose sum is σ = 1854859668480. Its totient is φ = 102857441280.

The previous prime is 456723210221. The next prime is 456723210253. The reversal of 456723210240 is 42012327654.

456723210240 is a `hidden beast` number, since 456 + 72 + 32 + 102 + 4 + 0 = 666.

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 = 456723210195 and 456723210204.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5502689239 + ... + 5502689321.

It is an arithmetic number, because the mean of its divisors is an integer number (1380103920).

Almost surely, 2^456723210240 is an apocalyptic number.

456723210240 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 456723210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927429834240).

456723210240 is an abundant number, since it is smaller than the sum of its proper divisors (1398136458240).

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

456723210240 is a wasteful number, since it uses less digits than its factorization.

456723210240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 186 counting only the distinct ones).

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

Adding to 456723210240 its reverse (42012327654), we get a palindrome (498735537894).

The spelling of 456723210240 in words is "four hundred fifty-six billion, seven hundred twenty-three million, two hundred ten thousand, two hundred forty".