396406080 has 378 divisors, whose sum is σ = 1616570046. Its totient is φ = 88897536.

The previous prime is 396406079. The next prime is 396406093. The reversal of 396406080 is 80604693.

396406080 is a `hidden beast` number, since 3 + 9 + 6 + 40 + 608 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 108493056 + 287913024 = 10416^2 + 16968^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 7479334 + ... + 7479386.

Almost surely, 2^396406080 is an apocalyptic number.

396406080 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 396406080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808285023).

396406080 is an abundant number, since it is smaller than the sum of its proper divisors (1220163966).

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

396406080 is a wasteful number, since it uses less digits than its factorization.

396406080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 396406080 is about 19909.9492716581. The cubic root of 396406080 is about 734.5929719166.

The spelling of 396406080 in words is "three hundred ninety-six million, four hundred six thousand, eighty".