355998272 has 56 divisors (see below), whose sum is σ = 813840384. Its totient is φ = 151345152.

The previous prime is 355998263. The next prime is 355998277. The reversal of 355998272 is 272899553.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 355998272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355998277) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53768 + ... + 60024.

It is an arithmetic number, because the mean of its divisors is an integer number (14532864).

Almost surely, 2^355998272 is an apocalyptic number.

355998272 is a gapful number since it is divisible by the number (32) 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 355998272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406920192).

355998272 is an abundant number, since it is smaller than the sum of its proper divisors (457842112).

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

355998272 is a wasteful number, since it uses less digits than its factorization.

355998272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6403 (or 6393 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 50.

The square root of 355998272 is about 18867.9164721492. The cubic root of 355998272 is about 708.7329594324.

The spelling of 355998272 in words is "three hundred fifty-five million, nine hundred ninety-eight thousand, two hundred seventy-two".