598000272 has 80 divisors (see below), whose sum is σ = 1581113088. Its totient is φ = 194688000.

The previous prime is 598000241. The next prime is 598000331. The reversal of 598000272 is 272000895.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 795897 + ... + 796647.

Almost surely, 2^598000272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 598000272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790556544).

598000272 is an abundant number, since it is smaller than the sum of its proper divisors (983112816).

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

598000272 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (598000271) it forms an eRAP, since the sums of their prime factors are consecutive (1127 and 1128).

598000272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 598000272 is about 24454.0440827279. The cubic root of 598000272 is about 842.4946024244.

The spelling of 598000272 in words is "five hundred ninety-eight million, two hundred seventy-two", and thus it is an aban number.