398399936256 has 1296 divisors, whose sum is σ = 1490842892448. Its totient is φ = 101567692800.

The previous prime is 398399936213. The next prime is 398399936279. The reversal of 398399936256 is 652639993893.

398399936256 is a `hidden beast` number, since 3 + 98 + 399 + 93 + 62 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4799999191 + ... + 4799999273.

It is an arithmetic number, because the mean of its divisors is an integer number (1150341738).

Almost surely, 2^398399936256 is an apocalyptic number.

398399936256 is a gapful number since it is divisible by the number (36) 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 398399936256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745421446224).

398399936256 is an abundant number, since it is smaller than the sum of its proper divisors (1092442956192).

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

398399936256 is a wasteful number, since it uses less digits than its factorization.

398399936256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 214 counting only the distinct ones).

The product of its digits is 510183360, while the sum is 72.

The spelling of 398399936256 in words is "three hundred ninety-eight billion, three hundred ninety-nine million, nine hundred thirty-six thousand, two hundred fifty-six".