451325280 has 288 divisors, whose sum is σ = 1709890560. Its totient is φ = 99671040.

The previous prime is 451325269. The next prime is 451325309. The reversal of 451325280 is 82523154.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 728811 + ... + 729429.

It is an arithmetic number, because the mean of its divisors is an integer number (5937120).

Almost surely, 2^451325280 is an apocalyptic number.

451325280 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 451325280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854945280).

451325280 is an abundant number, since it is smaller than the sum of its proper divisors (1258565280).

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

451325280 is a wasteful number, since it uses less digits than its factorization.

451325280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 451325280 is about 21244.4176196948. The cubic root of 451325280 is about 767.0609725523.

The spelling of 451325280 in words is "four hundred fifty-one million, three hundred twenty-five thousand, two hundred eighty".