451248000 has 512 divisors, whose sum is σ = 1833062400. Its totient is φ = 95846400.

The previous prime is 451247981. The next prime is 451248001. The reversal of 451248000 is 842154.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451248001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5711961 + ... + 5712039.

It is an arithmetic number, because the mean of its divisors is an integer number (3580200).

Almost surely, 2^451248000 is an apocalyptic number.

451248000 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 451248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916531200).

451248000 is an abundant number, since it is smaller than the sum of its proper divisors (1381814400).

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

451248000 is a wasteful number, since it uses less digits than its factorization.

451248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 451248000 is about 21242.5987110805. The cubic root of 451248000 is about 767.0171890121.

The spelling of 451248000 in words is "four hundred fifty-one million, two hundred forty-eight thousand".