396148680 has 192 divisors, whose sum is σ = 1333949760. Its totient is φ = 101896704.

The previous prime is 396148673. The next prime is 396148681. The reversal of 396148680 is 86841693.

396148680 is a `hidden beast` number, since 3 + 96 + 1 + 486 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (396148681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2430279 + ... + 2430441.

It is an arithmetic number, because the mean of its divisors is an integer number (6947655).

Almost surely, 2^396148680 is an apocalyptic number.

396148680 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 396148680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666974880).

396148680 is an abundant number, since it is smaller than the sum of its proper divisors (937801080).

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

396148680 is a wasteful number, since it uses less digits than its factorization.

396148680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 396148680 is about 19903.4841171087. The cubic root of 396148680 is about 734.4339387252.

The spelling of 396148680 in words is "three hundred ninety-six million, one hundred forty-eight thousand, six hundred eighty".