456526466520400 has 120 divisors (see below), whose sum is σ = 1126600477217504. Its totient is φ = 177651148147200.

The previous prime is 456526466520343. The next prime is 456526466520403. The reversal of 456526466520400 is 4025664625654.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456526466520403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107601679 + ... + 111763921.

Almost surely, 2^{456526466520400} is an apocalyptic number.

456526466520400 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 456526466520400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563300238608752).

456526466520400 is an abundant number, since it is smaller than the sum of its proper divisors (670074010697104).

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

456526466520400 is a wasteful number, since it uses less digits than its factorization.

456526466520400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4169709 (or 4169698 counting only the distinct ones).

The product of its (nonzero) digits is 41472000, while the sum is 55.

The spelling of 456526466520400 in words is "four hundred fifty-six trillion, five hundred twenty-six billion, four hundred sixty-six million, five hundred twenty thousand, four hundred".