396485040 has 320 divisors, whose sum is σ = 1517617152. Its totient is φ = 83635200.

The previous prime is 396484967. The next prime is 396485053. The reversal of 396485040 is 40584693.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 396485040.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1197675 + ... + 1198005.

Almost surely, 2^396485040 is an apocalyptic number.

396485040 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 396485040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758808576).

396485040 is an abundant number, since it is smaller than the sum of its proper divisors (1121132112).

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

396485040 is a wasteful number, since it uses less digits than its factorization.

396485040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 396485040 is about 19911.9321011297. The cubic root of 396485040 is about 734.6417431247.

The spelling of 396485040 in words is "three hundred ninety-six million, four hundred eighty-five thousand, forty".