396846240 has 192 divisors, whose sum is σ = 1446875136. Its totient is φ = 89551872.

The previous prime is 396846227. The next prime is 396846287. The reversal of 396846240 is 42648693.

It is a happy number.

It is a Cunningham number, because it is equal to 19921²-1.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 396846192 and 396846201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 278169 + ... + 279591.

It is an arithmetic number, because the mean of its divisors is an integer number (7535808).

Almost surely, 2^396846240 is an apocalyptic number.

396846240 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 396846240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723437568).

396846240 is an abundant number, since it is smaller than the sum of its proper divisors (1050028896).

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

396846240 is a wasteful number, since it uses less digits than its factorization.

396846240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 396846240 is about 19920.9999749009. Note that the first 4 decimals coincide. The cubic root of 396846240 is about 734.8647629383.

The spelling of 396846240 in words is "three hundred ninety-six million, eight hundred forty-six thousand, two hundred forty".