323406720 has 384 divisors, whose sum is σ = 1376706240. Its totient is φ = 68124672.

The previous prime is 323406701. The next prime is 323406737. The reversal of 323406720 is 27604323.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×323406720³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 523852 + ... + 524468.

Almost surely, 2^323406720 is an apocalyptic number.

323406720 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 323406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688353120).

323406720 is an abundant number, since it is smaller than the sum of its proper divisors (1053299520).

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

323406720 is a wasteful number, since it uses less digits than its factorization.

323406720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 323406720 is about 17983.5124489072. The cubic root of 323406720 is about 686.4090695983.

It can be divided in two parts, 32340 and 6720, that added together give a triangular number (39060 = T₂₇₉).

The spelling of 323406720 in words is "three hundred twenty-three million, four hundred six thousand, seven hundred twenty".