320681400 has 96 divisors (see below), whose sum is σ = 1070608560. Its totient is φ = 78935040.

The previous prime is 320681393. The next prime is 320681407. The reversal of 320681400 is 4186023.

It is a happy number.

320681400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (320681393) and next prime (320681407).

It is a super-3 number, since 3×320681400³ (a number of 26 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (24) 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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320681407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12757 + ... + 28356.

Almost surely, 2^320681400 is an apocalyptic number.

320681400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

320681400 is an abundant number, since it is smaller than the sum of its proper divisors (749927160).

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

320681400 is a wasteful number, since it uses less digits than its factorization.

320681400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41145 (or 41136 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 320681400 is about 17907.5794009129. The cubic root of 320681400 is about 684.4755251514.

The spelling of 320681400 in words is "three hundred twenty million, six hundred eighty-one thousand, four hundred".