456162494400 has 168 divisors, whose sum is σ = 1662881398640. Its totient is φ = 121643320320.

The previous prime is 456162494357. The next prime is 456162494407. The reversal of 456162494400 is 4494261654.

456162494400 is a `hidden beast` number, since 4 + 5 + 6 + 162 + 49 + 440 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456162494407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5236459 + ... + 5322858.

Almost surely, 2^456162494400 is an apocalyptic number.

456162494400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456162494400 is an abundant number, since it is smaller than the sum of its proper divisors (1206718904240).

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

456162494400 is a wasteful number, since it uses less digits than its factorization.

456162494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10559348 (or 10559327 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 456162494400 in words is "four hundred fifty-six billion, one hundred sixty-two million, four hundred ninety-four thousand, four hundred".