456925440000 has 480 divisors, whose sum is σ = 1531449279360. Its totient is φ = 121110528000.

The previous prime is 456925439899. The next prime is 456925440043. The reversal of 456925440000 is 44529654.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 986879769 + ... + 986880231.

It is an arithmetic number, because the mean of its divisors is an integer number (3190519332).

Almost surely, 2^456925440000 is an apocalyptic number.

456925440000 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 456925440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765724639680).

456925440000 is an abundant number, since it is smaller than the sum of its proper divisors (1074523839360).

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

456925440000 is an equidigital number, since it uses as much as digits as its factorization.

456925440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

Adding to 456925440000 its reverse (44529654), we get a palindrome (456969969654).

The spelling of 456925440000 in words is "four hundred fifty-six billion, nine hundred twenty-five million, four hundred forty thousand".