328458240 has 392 divisors, whose sum is σ = 1289276568. Its totient is φ = 79626240.

The previous prime is 328458227. The next prime is 328458281. The reversal of 328458240 is 42854823.

328458240 is a `hidden beast` number, since 32 + 8 + 4 + 582 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 328458195 and 328458204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 29859835 + ... + 29859845.

Almost surely, 2^328458240 is an apocalyptic number.

328458240 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 328458240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644638284).

328458240 is an abundant number, since it is smaller than the sum of its proper divisors (960818328).

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

328458240 is an frugal number, since it uses more digits than its factorization.

328458240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 328458240 is about 18123.4168963802. The cubic root of 328458240 is about 689.9644594170.

The spelling of 328458240 in words is "three hundred twenty-eight million, four hundred fifty-eight thousand, two hundred forty".