396876480 has 672 divisors, whose sum is σ = 1751258880. Its totient is φ = 74833920.

The previous prime is 396876479. The next prime is 396876481. The reversal of 396876480 is 84678693.

It is an interprime number because it is at equal distance from previous prime (396876479) and next prime (396876481).

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (396876481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6726691 + ... + 6726749.

It is an arithmetic number, because the mean of its divisors is an integer number (2606040).

Almost surely, 2^396876480 is an apocalyptic number.

396876480 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 396876480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875629440).

396876480 is an abundant number, since it is smaller than the sum of its proper divisors (1354382400).

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

396876480 is a wasteful number, since it uses less digits than its factorization.

396876480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The square root of 396876480 is about 19921.7589584856. The cubic root of 396876480 is about 734.8834282246.

The spelling of 396876480 in words is "three hundred ninety-six million, eight hundred seventy-six thousand, four hundred eighty".