321414912 has 432 divisors, whose sum is σ = 1207022880. Its totient is φ = 83607552.

The previous prime is 321414901. The next prime is 321414923. The reversal of 321414912 is 219414123.

It is a happy number.

321414912 is a `hidden beast` number, since 32 + 141 + 491 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (321414901) and next prime (321414923).

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

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, 4402908 + ... + 4402980.

Almost surely, 2^321414912 is an apocalyptic number.

321414912 is a gapful number since it is divisible by the number (32) 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 321414912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603511440).

321414912 is an abundant number, since it is smaller than the sum of its proper divisors (885607968).

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

321414912 is a wasteful number, since it uses less digits than its factorization.

321414912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 98 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 321414912 is about 17928.0481927063. The cubic root of 321414912 is about 684.9970071086.

Subtracting from 321414912 its product of digits (1728), we obtain a square (321413184 = 17928²).

The spelling of 321414912 in words is "three hundred twenty-one million, four hundred fourteen thousand, nine hundred twelve".