451904417328 has 320 divisors, whose sum is σ = 1529794086912. Its totient is φ = 111549726720.

The previous prime is 451904417317. The next prime is 451904417329. The reversal of 451904417328 is 823714409154.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (451904417329) 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 63 ways as a sum of consecutive naturals, for example, 13423525 + ... + 13457147.

Almost surely, 2^451904417328 is an apocalyptic number.

451904417328 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 451904417328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764897043456).

451904417328 is an abundant number, since it is smaller than the sum of its proper divisors (1077889669584).

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

451904417328 is a wasteful number, since it uses less digits than its factorization.

451904417328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33852 (or 33846 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 451904417328 in words is "four hundred fifty-one billion, nine hundred four million, four hundred seventeen thousand, three hundred twenty-eight".