320407552 has 48 divisors (see below), whose sum is σ = 647419500. Its totient is φ = 158515200.

The previous prime is 320407547. The next prime is 320407561. The reversal of 320407552 is 255704023.

It can be written as a sum of positive squares in 2 ways, for example, as 306390016 + 14017536 = 17504^2 + 3744^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 320407552.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 206074 + ... + 207622.

Almost surely, 2^320407552 is an apocalyptic number.

320407552 is a gapful number since it is divisible by the number (32) 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 320407552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323709750).

320407552 is an abundant number, since it is smaller than the sum of its proper divisors (327011948).

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

320407552 is a wasteful number, since it uses less digits than its factorization.

320407552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 28.

The square root of 320407552 is about 17899.9316199811. The cubic root of 320407552 is about 684.2806321987.

The spelling of 320407552 in words is "three hundred twenty million, four hundred seven thousand, five hundred fifty-two".