327650400 has 576 divisors, whose sum is σ = 1484904960. Its totient is φ = 67737600.

The previous prime is 327650359. The next prime is 327650413. The reversal of 327650400 is 4056723.

It is a happy number.

327650400 is a `hidden beast` number, since 3 + 2 + 7 + 650 + 4 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1663102 + ... + 1663298.

It is an arithmetic number, because the mean of its divisors is an integer number (2577960).

Almost surely, 2^327650400 is an apocalyptic number.

327650400 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 327650400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742452480).

327650400 is an abundant number, since it is smaller than the sum of its proper divisors (1157254560).

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

327650400 is a wasteful number, since it uses less digits than its factorization.

327650400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 327650400 is about 18101.1159876953. The cubic root of 327650400 is about 689.3983413092.

The spelling of 327650400 in words is "three hundred twenty-seven million, six hundred fifty thousand, four hundred".