321053040 has 240 divisors, whose sum is σ = 1344485376. Its totient is φ = 66700800.

The previous prime is 321053039. The next prime is 321053071. The reversal of 321053040 is 40350123.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 52545 + ... + 58335.

Almost surely, 2^321053040 is an apocalyptic number.

321053040 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 321053040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672242688).

321053040 is an abundant number, since it is smaller than the sum of its proper divisors (1023432336).

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

321053040 is a wasteful number, since it uses less digits than its factorization.

321053040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5828 (or 5819 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 321053040 is about 17917.9530080866. The cubic root of 321053040 is about 684.7398376231.

The spelling of 321053040 in words is "three hundred twenty-one million, fifty-three thousand, forty".