327248400 has 240 divisors, whose sum is σ = 1141514240. Its totient is φ = 79833600.

The previous prime is 327248399. The next prime is 327248423. The reversal of 327248400 is 4842723.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 706569 + ... + 707031.

Almost surely, 2^327248400 is an apocalyptic number.

327248400 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 327248400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570757120).

327248400 is an abundant number, since it is smaller than the sum of its proper divisors (814265840).

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

327248400 is a wasteful number, since it uses less digits than its factorization.

327248400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 327248400 is about 18090.0082918721. The cubic root of 327248400 is about 689.1162809664.

The spelling of 327248400 in words is "three hundred twenty-seven million, two hundred forty-eight thousand, four hundred".