326354400 has 288 divisors, whose sum is σ = 1223359200. Its totient is φ = 83865600.

The previous prime is 326354363. The next prime is 326354407. The reversal of 326354400 is 4453623.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (326354407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 626140 + ... + 626660.

It is an arithmetic number, because the mean of its divisors is an integer number (4247775).

Almost surely, 2^326354400 is an apocalyptic number.

326354400 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 326354400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611679600).

326354400 is an abundant number, since it is smaller than the sum of its proper divisors (897004800).

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

326354400 is a wasteful number, since it uses less digits than its factorization.

326354400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 326354400 is about 18065.2816197257. The cubic root of 326354400 is about 688.4881833543.

The spelling of 326354400 in words is "three hundred twenty-six million, three hundred fifty-four thousand, four hundred".