451293696 has 240 divisors, whose sum is σ = 1578006144. Its totient is φ = 121208832.

The previous prime is 451293653. The next prime is 451293721. The reversal of 451293696 is 696392154.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 547941 + ... + 548763.

Almost surely, 2^451293696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451293696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789003072).

451293696 is an abundant number, since it is smaller than the sum of its proper divisors (1126712448).

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

451293696 is a wasteful number, since it uses less digits than its factorization.

451293696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 852 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 451293696 is about 21243.6742584704. The cubic root of 451293696 is about 767.0430790137.

The spelling of 451293696 in words is "four hundred fifty-one million, two hundred ninety-three thousand, six hundred ninety-six".