451493760 has 128 divisors (see below), whose sum is σ = 1452569760. Its totient is φ = 119275520.

The previous prime is 451493743. The next prime is 451493761. The reversal of 451493760 is 67394154.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451493761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215920 + ... + 218000.

Almost surely, 2^451493760 is an apocalyptic number.

451493760 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 451493760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726284880).

451493760 is an abundant number, since it is smaller than the sum of its proper divisors (1001076000).

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

451493760 is a wasteful number, since it uses less digits than its factorization.

451493760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2216 (or 2204 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 451493760 is about 21248.3825266772. The cubic root of 451493760 is about 767.1564087861.

The spelling of 451493760 in words is "four hundred fifty-one million, four hundred ninety-three thousand, seven hundred sixty".