451101664 has 96 divisors (see below), whose sum is σ = 1020763296. Its totient is φ = 194396160.

The previous prime is 451101643. The next prime is 451101671. The reversal of 451101664 is 466101154.

It is a super-2 number, since 2×451101664² = 406985422527137792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1605204 + ... + 1605484.

It is an arithmetic number, because the mean of its divisors is an integer number (10632951).

Almost surely, 2^451101664 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 451101664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510381648).

451101664 is an abundant number, since it is smaller than the sum of its proper divisors (569661632).

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

451101664 is a wasteful number, since it uses less digits than its factorization.

451101664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 451101664 is about 21239.1540321172. The cubic root of 451101664 is about 766.9342676010.

The spelling of 451101664 in words is "four hundred fifty-one million, one hundred one thousand, six hundred sixty-four".