451552320 has 168 divisors, whose sum is σ = 1610953344. Its totient is φ = 120393216.

The previous prime is 451552319. The next prime is 451552337. The reversal of 451552320 is 23255154.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74857 + ... + 80663.

It is an arithmetic number, because the mean of its divisors is an integer number (9589008).

Almost surely, 2^451552320 is an apocalyptic number.

451552320 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 451552320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805476672).

451552320 is an abundant number, since it is smaller than the sum of its proper divisors (1159401024).

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

451552320 is an equidigital number, since it uses as much as digits as its factorization.

451552320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5839 (or 5817 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 451552320 is about 21249.7604692382. The cubic root of 451552320 is about 767.1895747943.

The spelling of 451552320 in words is "four hundred fifty-one million, five hundred fifty-two thousand, three hundred twenty".