451254440 has 128 divisors (see below), whose sum is σ = 1259435520. Its totient is φ = 141696000.

The previous prime is 451254439. The next prime is 451254449. The reversal of 451254440 is 44452154.

It is not an unprimeable number, because it can be changed into a prime (451254449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 549230 + ... + 550050.

It is an arithmetic number, because the mean of its divisors is an integer number (9839340).

Almost surely, 2^451254440 is an apocalyptic number.

451254440 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 451254440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629717760).

451254440 is an abundant number, since it is smaller than the sum of its proper divisors (808181080).

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

451254440 is a wasteful number, since it uses less digits than its factorization.

451254440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 29.

The square root of 451254440 is about 21242.7502927469. The cubic root of 451254440 is about 767.0208378313.

The spelling of 451254440 in words is "four hundred fifty-one million, two hundred fifty-four thousand, four hundred forty".