326904000 has 224 divisors, whose sum is σ = 1104083136. Its totient is φ = 85196800.

The previous prime is 326903981. The next prime is 326904007. The reversal of 326904000 is 409623.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (326904007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1271872 + ... + 1272128.

Almost surely, 2^326904000 is an apocalyptic number.

326904000 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 326904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552041568).

326904000 is an abundant number, since it is smaller than the sum of its proper divisors (777179136).

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

326904000 is a wasteful number, since it uses less digits than its factorization.

326904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 326904000 is about 18080.4867191124. The cubic root of 326904000 is about 688.8744514645.

The spelling of 326904000 in words is "three hundred twenty-six million, nine hundred four thousand".