390226272 has 96 divisors (see below), whose sum is σ = 1069869024. Its totient is φ = 124416000.

The previous prime is 390226271. The next prime is 390226297. The reversal of 390226272 is 272622093.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390226271) by changing a digit.

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, 215772 + ... + 217572.

It is an arithmetic number, because the mean of its divisors is an integer number (11144469).

Almost surely, 2^390226272 is an apocalyptic number.

390226272 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 390226272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534934512).

390226272 is an abundant number, since it is smaller than the sum of its proper divisors (679642752).

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

390226272 is a wasteful number, since it uses less digits than its factorization.

390226272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912 (or 1904 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 390226272 is about 19754.1456914745. The cubic root of 390226272 is about 730.7556271589.

The spelling of 390226272 in words is "three hundred ninety million, two hundred twenty-six thousand, two hundred seventy-two".