451419840 has 168 divisors, whose sum is σ = 1590982848. Its totient is φ = 117411840.

The previous prime is 451419823. The next prime is 451419847. The reversal of 451419840 is 48914154.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 451419795 and 451419804.

It is not an unprimeable number, because it can be changed into a prime (451419847) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 116169 + ... + 119991.

It is an arithmetic number, because the mean of its divisors is an integer number (9470136).

Almost surely, 2^451419840 is an apocalyptic number.

451419840 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 451419840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795491424).

451419840 is an abundant number, since it is smaller than the sum of its proper divisors (1139563008).

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

451419840 is a wasteful number, since it uses less digits than its factorization.

451419840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3887 (or 3874 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 451419840 is about 21246.6430289587. The cubic root of 451419840 is about 767.1145394021.

The spelling of 451419840 in words is "four hundred fifty-one million, four hundred nineteen thousand, eight hundred forty".