396792672 has 48 divisors (see below), whose sum is σ = 1046917872. Its totient is φ = 131586560.

The previous prime is 396792661. The next prime is 396792677. The reversal of 396792672 is 276297693.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396792677) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8422 + ... + 29402.

It is an arithmetic number, because the mean of its divisors is an integer number (21810789).

Almost surely, 2^396792672 is an apocalyptic number.

396792672 is a gapful number since it is divisible by the number (32) 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 396792672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523458936).

396792672 is an abundant number, since it is smaller than the sum of its proper divisors (650125200).

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

396792672 is a wasteful number, since it uses less digits than its factorization.

396792672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21191 (or 21183 counting only the distinct ones).

The product of its digits is 1714608, while the sum is 51.

The square root of 396792672 is about 19919.6554187064. The cubic root of 396792672 is about 734.8316963893.

The spelling of 396792672 in words is "three hundred ninety-six million, seven hundred ninety-two thousand, six hundred seventy-two".