398597019262272 has 336 divisors, whose sum is σ = 1304439847401600. Its totient is φ = 115578986987520.

The previous prime is 398597019262271. The next prime is 398597019262319. The reversal of 398597019262272 is 272262910795893.

398597019262272 is a `hidden beast` number, since 3 + 9 + 8 + 5 + 97 + 0 + 1 + 9 + 262 + 272 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 398597019262272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398597019262271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18499372 + ... + 33755307.

It is an arithmetic number, because the mean of its divisors is an integer number (3882261450600).

Almost surely, 2^{398597019262272} is an apocalyptic number.

398597019262272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

398597019262272 is an abundant number, since it is smaller than the sum of its proper divisors (905842828139328).

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

398597019262272 is a wasteful number, since it uses less digits than its factorization.

398597019262272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52254774 (or 52254761 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 72.

The spelling of 398597019262272 in words is "three hundred ninety-eight trillion, five hundred ninety-seven billion, nineteen million, two hundred sixty-two thousand, two hundred seventy-two".