396963840 has 416 divisors, whose sum is σ = 1585253376. Its totient is φ = 82575360.

The previous prime is 396963839. The next prime is 396963841. The reversal of 396963840 is 48369693.

It is an interprime number because it is at equal distance from previous prime (396963839) and next prime (396963841).

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 396963840.

It is not an unprimeable number, because it can be changed into a prime (396963841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5591005 + ... + 5591075.

Almost surely, 2^396963840 is an apocalyptic number.

396963840 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 396963840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792626688).

396963840 is an abundant number, since it is smaller than the sum of its proper divisors (1188289536).

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

396963840 is a wasteful number, since it uses less digits than its factorization.

396963840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 48.

The square root of 396963840 is about 19923.9514153192. The cubic root of 396963840 is about 734.9373448373.

The spelling of 396963840 in words is "three hundred ninety-six million, nine hundred sixty-three thousand, eight hundred forty".