451403840 has 56 divisors (see below), whose sum is σ = 1080622680. Its totient is φ = 179601408.

The previous prime is 451403837. The next prime is 451403851. The reversal of 451403840 is 48304154.

It can be written as a sum of positive squares in 4 ways, for example, as 11075584 + 440328256 = 3328^2 + 20984^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58106 + ... + 65414.

Almost surely, 2^451403840 is an apocalyptic number.

451403840 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 451403840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540311340).

451403840 is an abundant number, since it is smaller than the sum of its proper divisors (629218840).

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

451403840 is a wasteful number, since it uses less digits than its factorization.

451403840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7519 (or 7509 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 451403840 is about 21246.2664955516. The cubic root of 451403840 is about 767.1054761632.

Adding to 451403840 its reverse (48304154), we get a palindrome (499707994).

The spelling of 451403840 in words is "four hundred fifty-one million, four hundred three thousand, eight hundred forty".