396242496000 has 1280 divisors, whose sum is σ = 1630095667200. Its totient is φ = 94224384000.

The previous prime is 396242495953. The next prime is 396242496017. The reversal of 396242496000 is 694242693.

396242496000 is a `hidden beast` number, since 39 + 6 + 2 + 4 + 2 + 4 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 696383716 + ... + 696384284.

It is an arithmetic number, because the mean of its divisors is an integer number (1273512240).

Almost surely, 2^396242496000 is an apocalyptic number.

396242496000 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 396242496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815047833600).

396242496000 is an abundant number, since it is smaller than the sum of its proper divisors (1233853171200).

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

396242496000 is a wasteful number, since it uses less digits than its factorization.

396242496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 396242496000 in words is "three hundred ninety-six billion, two hundred forty-two million, four hundred ninety-six thousand".