326812416 has 288 divisors, whose sum is σ = 1073737728. Its totient is φ = 86261760.

The previous prime is 326812393. The next prime is 326812429. The reversal of 326812416 is 614218623.

It is a super-5 number, since 5×326812416⁵ (a number of 44 digits) contains 55555 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6166246 + ... + 6166298.

It is an arithmetic number, because the mean of its divisors is an integer number (3728256).

Almost surely, 2^326812416 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 326812416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536868864).

326812416 is an abundant number, since it is smaller than the sum of its proper divisors (746925312).

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

326812416 is a wasteful number, since it uses less digits than its factorization.

326812416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 133 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 326812416 is about 18077.9538665193. The cubic root of 326812416 is about 688.8101147679.

The spelling of 326812416 in words is "three hundred twenty-six million, eight hundred twelve thousand, four hundred sixteen".