451662016 has 56 divisors (see below), whose sum is σ = 967872080. Its totient is φ = 207885312.

The previous prime is 451662007. The next prime is 451662031. The reversal of 451662016 is 610266154.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 514570 + ... + 515446.

It is an arithmetic number, because the mean of its divisors is an integer number (17283430).

Almost surely, 2^451662016 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 451662016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483936040).

451662016 is an abundant number, since it is smaller than the sum of its proper divisors (516210064).

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

451662016 is a wasteful number, since it uses less digits than its factorization.

451662016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 451662016 is about 21252.3414239467. The cubic root of 451662016 is about 767.2516944424.

The spelling of 451662016 in words is "four hundred fifty-one million, six hundred sixty-two thousand, sixteen".