396996480 has 192 divisors, whose sum is σ = 1382752800. Its totient is φ = 104951808.

The previous prime is 396996473. The next prime is 396996487. The reversal of 396996480 is 84699693.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (396996473) and next prime (396996487).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396996487) 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, 904101 + ... + 904539.

Almost surely, 2^396996480 is an apocalyptic number.

396996480 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 396996480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691376400).

396996480 is an abundant number, since it is smaller than the sum of its proper divisors (985756320).

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

396996480 is a wasteful number, since it uses less digits than its factorization.

396996480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The square root of 396996480 is about 19924.7705131075. The cubic root of 396996480 is about 734.9574874759.

The spelling of 396996480 in words is "three hundred ninety-six million, nine hundred ninety-six thousand, four hundred eighty".