398129256 has 192 divisors, whose sum is σ = 1353905280. Its totient is φ = 106997760.

The previous prime is 398129233. The next prime is 398129297. The reversal of 398129256 is 652921893.

398129256 is a `hidden beast` number, since 398 + 1 + 2 + 9 + 256 = 666.

It is a super-2 number, since 2×398129256² = 317013808966227072, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 230476 + ... + 232196.

It is an arithmetic number, because the mean of its divisors is an integer number (7051590).

Almost surely, 2^398129256 is an apocalyptic number.

398129256 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 398129256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676952640).

398129256 is an abundant number, since it is smaller than the sum of its proper divisors (955776024).

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

398129256 is a wasteful number, since it uses less digits than its factorization.

398129256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766 (or 1750 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 398129256 is about 19953.1765892050. The cubic root of 398129256 is about 735.6558577374.

The spelling of 398129256 in words is "three hundred ninety-eight million, one hundred twenty-nine thousand, two hundred fifty-six".