451891440 has 960 divisors, whose sum is σ = 2216524800. Its totient is φ = 82114560.

The previous prime is 451891423. The next prime is 451891441. The reversal of 451891440 is 44198154.

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 = 451891395 and 451891404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451891441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23783751 + ... + 23783769.

It is an arithmetic number, because the mean of its divisors is an integer number (2308880).

Almost surely, 2^451891440 is an apocalyptic number.

451891440 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 451891440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108262400).

451891440 is an abundant number, since it is smaller than the sum of its proper divisors (1764633360).

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

451891440 is a wasteful number, since it uses less digits than its factorization.

451891440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 60 counting only the distinct ones).

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

The square root of 451891440 is about 21257.7383557141. The cubic root of 451891440 is about 767.3815822424.

The spelling of 451891440 in words is "four hundred fifty-one million, eight hundred ninety-one thousand, four hundred forty".