901603272 has 128 divisors (see below), whose sum is σ = 2420812800. Its totient is φ = 279272448.

The previous prime is 901603259. The next prime is 901603273. The reversal of 901603272 is 272306109.

It is a super-2 number, since 2×901603272² = 1625776920162211968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (901603273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4042953 + ... + 4043175.

It is an arithmetic number, because the mean of its divisors is an integer number (18912600).

Almost surely, 2^901603272 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 901603272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210406400).

901603272 is an abundant number, since it is smaller than the sum of its proper divisors (1519209528).

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

901603272 is a wasteful number, since it uses less digits than its factorization.

901603272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 901603272 is about 30026.7093102125. The cubic root of 901603272 is about 966.0623563946.

The spelling of 901603272 in words is "nine hundred one million, six hundred three thousand, two hundred seventy-two".