451361568 has 384 divisors, whose sum is σ = 1567641600. Its totient is φ = 110702592.

The previous prime is 451361551. The next prime is 451361593. The reversal of 451361568 is 865163154.

Its product of digits (86400) is a multiple of the sum of its prime factors (144).

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, 8516230 + ... + 8516282.

It is an arithmetic number, because the mean of its divisors is an integer number (4082400).

Almost surely, 2^451361568 is an apocalyptic number.

451361568 is a gapful number since it is divisible by the number (48) 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 451361568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783820800).

451361568 is an abundant number, since it is smaller than the sum of its proper divisors (1116280032).

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

451361568 is a wasteful number, since it uses less digits than its factorization.

451361568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 136 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 451361568 is about 21245.2716621840. The cubic root of 451361568 is about 767.0815300554.

The spelling of 451361568 in words is "four hundred fifty-one million, three hundred sixty-one thousand, five hundred sixty-eight".