451829664 has 480 divisors, whose sum is σ = 1659740544. Its totient is φ = 118609920.

The previous prime is 451829627. The next prime is 451829669. The reversal of 451829664 is 466928154.

It is not an unprimeable number, because it can be changed into a prime (451829669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8525062 + ... + 8525114.

Almost surely, 2^451829664 is an apocalyptic number.

451829664 is a gapful number since it is divisible by the number (44) 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 451829664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829870272).

451829664 is an abundant number, since it is smaller than the sum of its proper divisors (1207910880).

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

451829664 is a wasteful number, since it uses less digits than its factorization.

451829664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 105 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 451829664 is about 21256.2852822406. The cubic root of 451829664 is about 767.3466122468.

The spelling of 451829664 in words is "four hundred fifty-one million, eight hundred twenty-nine thousand, six hundred sixty-four".