398768272 has 60 divisors (see below), whose sum is σ = 903799296. Its totient is φ = 169942080.

The previous prime is 398768263. The next prime is 398768297. The reversal of 398768272 is 272867893.

It is a super-2 number, since 2×398768272² = 318032269507731968, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148413 + ... + 151075.

Almost surely, 2^398768272 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 398768272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451899648).

398768272 is an abundant number, since it is smaller than the sum of its proper divisors (505031024).

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

398768272 is a wasteful number, since it uses less digits than its factorization.

398768272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2876 (or 2863 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 52.

The square root of 398768272 is about 19969.1830579020. The cubic root of 398768272 is about 736.0492346553.

Adding to 398768272 its product of digits (2032128), we get a square (400800400 = 20020²).

The spelling of 398768272 in words is "three hundred ninety-eight million, seven hundred sixty-eight thousand, two hundred seventy-two".