396979968 has 288 divisors, whose sum is σ = 1353945600. Its totient is φ = 102359040.

The previous prime is 396979967. The next prime is 396979981. The reversal of 396979968 is 869979693.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 396979899 and 396979908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396979967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2897596 + ... + 2897732.

It is an arithmetic number, because the mean of its divisors is an integer number (4701200).

Almost surely, 2^396979968 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 396979968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676972800).

396979968 is an abundant number, since it is smaller than the sum of its proper divisors (956965632).

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

396979968 is a wasteful number, since it uses less digits than its factorization.

396979968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 160 counting only the distinct ones).

The product of its digits is 39680928, while the sum is 66.

The square root of 396979968 is about 19924.3561501997. The cubic root of 396979968 is about 734.9472978085.

The spelling of 396979968 in words is "three hundred ninety-six million, nine hundred seventy-nine thousand, nine hundred sixty-eight".