451245375504 has 405 divisors, whose sum is σ = 1616955818751. Its totient is φ = 117045371520.

The previous prime is 451245375481. The next prime is 451245375563. The reversal of 451245375504 is 405573542154.

The square root of 451245375504 is 671748.

It is a perfect power (a square), and thus also a powerful number.

451245375504 is a `hidden beast` number, since 4 + 5 + 1 + 24 + 53 + 75 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 451245375504.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 620694789 + ... + 620695515.

Almost surely, 2^451245375504 is an apocalyptic number.

451245375504 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

451245375504 is the 671748-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451245375504

451245375504 is an abundant number, since it is smaller than the sum of its proper divisors (1165710443247).

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

451245375504 is a wasteful number, since it uses less digits than its factorization.

451245375504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 1680000, while the sum is 45.

The spelling of 451245375504 in words is "four hundred fifty-one billion, two hundred forty-five million, three hundred seventy-five thousand, five hundred four".