451808742 has 64 divisors (see below), whose sum is σ = 1140940800. Its totient is φ = 115858080.

The previous prime is 451808737. The next prime is 451808789. The reversal of 451808742 is 247808154.

It is a happy number.

It is a super-2 number, since 2×451808742² = 408262278695245128, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 451808742.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 30309 + ... + 42687.

It is an arithmetic number, because the mean of its divisors is an integer number (17827200).

Almost surely, 2^451808742 is an apocalyptic number.

451808742 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 451808742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570470400).

451808742 is an abundant number, since it is smaller than the sum of its proper divisors (689132058).

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

451808742 is a wasteful number, since it uses less digits than its factorization.

451808742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12481.

The product of its (nonzero) digits is 71680, while the sum is 39.

The square root of 451808742 is about 21255.7931397537. The cubic root of 451808742 is about 767.3347680535.

The spelling of 451808742 in words is "four hundred fifty-one million, eight hundred eight thousand, seven hundred forty-two".