451321920 has 336 divisors, whose sum is σ = 1808122368. Its totient is φ = 101191680.

The previous prime is 451321919. The next prime is 451321931. The reversal of 451321920 is 29123154.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1229577 + ... + 1229943.

Almost surely, 2^451321920 is an apocalyptic number.

451321920 is a gapful number since it is divisible by the number (40) 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 451321920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904061184).

451321920 is an abundant number, since it is smaller than the sum of its proper divisors (1356800448).

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

451321920 is a wasteful number, since it uses less digits than its factorization.

451321920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 451321920 is about 21244.3385399499. The cubic root of 451321920 is about 767.0590690240.

The spelling of 451321920 in words is "four hundred fifty-one million, three hundred twenty-one thousand, nine hundred twenty".