396430352640 has 1296 divisors, whose sum is σ = 1681846573680. Its totient is φ = 85837086720.

The previous prime is 396430352609. The next prime is 396430352641. The reversal of 396430352640 is 46253034693.

396430352640 is a `hidden beast` number, since 3 + 96 + 4 + 30 + 3 + 526 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 29019803904 + 367410548736 = 170352^2 + 606144^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396430352641) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 998564922 + ... + 998565318.

Almost surely, 2^396430352640 is an apocalyptic number.

396430352640 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 396430352640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840923286840).

396430352640 is an abundant number, since it is smaller than the sum of its proper divisors (1285416221040).

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

396430352640 is a wasteful number, since it uses less digits than its factorization.

396430352640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

The spelling of 396430352640 in words is "three hundred ninety-six billion, four hundred thirty million, three hundred fifty-two thousand, six hundred forty".