320471424 has 256 divisors, whose sum is σ = 1165248000. Its totient is φ = 84436992.

The previous prime is 320471407. The next prime is 320471441. The reversal of 320471424 is 424174023.

It is an interprime number because it is at equal distance from previous prime (320471407) and next prime (320471441).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 313987 + ... + 315005.

It is an arithmetic number, because the mean of its divisors is an integer number (4551750).

Almost surely, 2^320471424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320471424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582624000).

320471424 is an abundant number, since it is smaller than the sum of its proper divisors (844776576).

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

320471424 is a wasteful number, since it uses less digits than its factorization.

320471424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 320471424 is about 17901.7156719684. The cubic root of 320471424 is about 684.3260987390.

The spelling of 320471424 in words is "three hundred twenty million, four hundred seventy-one thousand, four hundred twenty-four".