396695040 has 320 divisors, whose sum is σ = 1489618944. Its totient is φ = 88178688.

The previous prime is 396695027. The next prime is 396695069. The reversal of 396695040 is 40596693.

It is a tau number, because it is divible by the number of its divisors (320).

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 = 396694983 and 396695001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2526642 + ... + 2526798.

Almost surely, 2^396695040 is an apocalyptic number.

396695040 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 396695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744809472).

396695040 is an abundant number, since it is smaller than the sum of its proper divisors (1092923904).

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

396695040 is a wasteful number, since it uses less digits than its factorization.

396695040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The square root of 396695040 is about 19917.2046231393. The cubic root of 396695040 is about 734.7714222812.

The spelling of 396695040 in words is "three hundred ninety-six million, six hundred ninety-five thousand, forty".