321061400 has 72 divisors (see below), whose sum is σ = 820559460. Its totient is φ = 116740800.

The previous prime is 321061399. The next prime is 321061409. The reversal of 321061400 is 4160123.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321061409) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17567 + ... + 30833.

Almost surely, 2^321061400 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 321061400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410279730).

321061400 is an abundant number, since it is smaller than the sum of its proper divisors (499498060).

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

321061400 is a wasteful number, since it uses less digits than its factorization.

321061400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13305 (or 13285 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 321061400 is about 17918.1862921446. The cubic root of 321061400 is about 684.7457809560.

The spelling of 321061400 in words is "three hundred twenty-one million, sixty-one thousand, four hundred".