455434056 has 256 divisors, whose sum is σ = 1596672000. Its totient is φ = 116847360.

The previous prime is 455434043. The next prime is 455434061. The reversal of 455434056 is 650434554.

It is a super-2 number, since 2×455434056² = 414840358729222272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 455434056.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2311750 + ... + 2311946.

It is an arithmetic number, because the mean of its divisors is an integer number (6237000).

Almost surely, 2^455434056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455434056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798336000).

455434056 is an abundant number, since it is smaller than the sum of its proper divisors (1141237944).

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

455434056 is a wasteful number, since it uses less digits than its factorization.

455434056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The square root of 455434056 is about 21340.9010119067. The cubic root of 455434056 is about 769.3816680970.

The spelling of 455434056 in words is "four hundred fifty-five million, four hundred thirty-four thousand, fifty-six".