451372320 has 216 divisors, whose sum is σ = 1792067004. Its totient is φ = 103154688.

The previous prime is 451372297. The next prime is 451372373. The reversal of 451372320 is 23273154.

It can be written as a sum of positive squares in 2 ways, for example, as 376515216 + 74857104 = 19404^2 + 8652^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 67362 + ... + 73758.

Almost surely, 2^451372320 is an apocalyptic number.

451372320 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 451372320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896033502).

451372320 is an abundant number, since it is smaller than the sum of its proper divisors (1340694684).

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

451372320 is a wasteful number, since it uses less digits than its factorization.

451372320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6432 (or 6414 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 451372320 is about 21245.5247052173. The cubic root of 451372320 is about 767.0876209559.

The spelling of 451372320 in words is "four hundred fifty-one million, three hundred seventy-two thousand, three hundred twenty".