328244400 has 360 divisors, whose sum is σ = 1292875584. Its totient is φ = 79315200.

The previous prime is 328244393. The next prime is 328244407. The reversal of 328244400 is 4442823.

328244400 = 153³ + 154³ + ... + 207³.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (328244393) and next prime (328244407).

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×328244400² = 215488772262720000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (328244407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1069047 + ... + 1069353.

Almost surely, 2^328244400 is an apocalyptic number.

328244400 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 328244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646437792).

328244400 is an abundant number, since it is smaller than the sum of its proper divisors (964631184).

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

328244400 is a wasteful number, since it uses less digits than its factorization.

328244400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 328244400 is about 18117.5163860834. The cubic root of 328244400 is about 689.8146950409.

The spelling of 328244400 in words is "three hundred twenty-eight million, two hundred forty-four thousand, four hundred".