396140940 has 288 divisors, whose sum is σ = 1377632256. Its totient is φ = 91445760.

The previous prime is 396140929. The next prime is 396140951. The reversal of 396140940 is 49041693.

396140940 is a `hidden beast` number, since 39 + 614 + 0 + 9 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (396140929) and next prime (396140951).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 396140895 and 396140904.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3119157 + ... + 3119283.

Almost surely, 2^396140940 is an apocalyptic number.

396140940 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 396140940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688816128).

396140940 is an abundant number, since it is smaller than the sum of its proper divisors (981491316).

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

396140940 is a wasteful number, since it uses less digits than its factorization.

396140940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 396140940 is about 19903.2896778397. The cubic root of 396140940 is about 734.4291555415.

The spelling of 396140940 in words is "three hundred ninety-six million, one hundred forty thousand, nine hundred forty".