321413760 has 192 divisors, whose sum is σ = 1137787560. Its totient is φ = 83558400.

The previous prime is 321413749. The next prime is 321413761. The reversal of 321413760 is 67314123.

It can be written as a sum of positive squares in 4 ways, for example, as 116122176 + 205291584 = 10776^2 + 14328^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (321413761) 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, 235480 + ... + 236840.

Almost surely, 2^321413760 is an apocalyptic number.

321413760 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 321413760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568893780).

321413760 is an abundant number, since it is smaller than the sum of its proper divisors (816373800).

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

321413760 is a wasteful number, since it uses less digits than its factorization.

321413760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 321413760 is about 17928.0160642498. The cubic root of 321413760 is about 684.9961887297.

Adding to 321413760 its reverse (67314123), we get a palindrome (388727883).

The spelling of 321413760 in words is "three hundred twenty-one million, four hundred thirteen thousand, seven hundred sixty".