320536440 has 288 divisors, whose sum is σ = 1258573680. Its totient is φ = 73156608.

The previous prime is 320536429. The next prime is 320536451. The reversal of 320536440 is 44635023.

It is an interprime number because it is at equal distance from previous prime (320536429) and next prime (320536451).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 475944 + ... + 476616.

Almost surely, 2^320536440 is an apocalyptic number.

320536440 is a gapful number since it is divisible by the number (30) 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 320536440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629286840).

320536440 is an abundant number, since it is smaller than the sum of its proper divisors (938037240).

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

320536440 is a wasteful number, since it uses less digits than its factorization.

320536440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 320536440 is about 17903.5314952107. The cubic root of 320536440 is about 684.3723734183.

The spelling of 320536440 in words is "three hundred twenty million, five hundred thirty-six thousand, four hundred forty".