396419328 has 216 divisors, whose sum is σ = 1255527000. Its totient is φ = 119734272.

The previous prime is 396419327. The next prime is 396419339. The reversal of 396419328 is 823914693.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 154554624 + 241864704 = 12432^2 + 15552^2 .

It is a super-2 number, since 2×396419328² = 314296567223943168, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (396419321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1135698 + ... + 1136046.

It is an arithmetic number, because the mean of its divisors is an integer number (5812625).

Almost surely, 2^396419328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 396419328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627763500).

396419328 is an abundant number, since it is smaller than the sum of its proper divisors (859107672).

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

396419328 is a wasteful number, since it uses less digits than its factorization.

396419328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 400 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 396419328 is about 19910.2819668633. The cubic root of 396419328 is about 734.6011552584.

The spelling of 396419328 in words is "three hundred ninety-six million, four hundred nineteen thousand, three hundred twenty-eight".