396701798400 has 312 divisors, whose sum is σ = 1457344030560. Its totient is φ = 105786408960.

The previous prime is 396701798377. The next prime is 396701798539. The reversal of 396701798400 is 4897107693.

It is a happy number.

396701798400 is a `hidden beast` number, since 3 + 9 + 67 + 0 + 179 + 8 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2693059 + ... + 2836541.

Almost surely, 2^396701798400 is an apocalyptic number.

396701798400 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 396701798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728672015280).

396701798400 is an abundant number, since it is smaller than the sum of its proper divisors (1060642232160).

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

396701798400 is a wasteful number, since it uses less digits than its factorization.

396701798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143526 (or 143493 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 396701798400 in words is "three hundred ninety-six billion, seven hundred one million, seven hundred ninety-eight thousand, four hundred".