901440 has 84 divisors (see below), whose sum is σ = 3110484. Its totient is φ = 239616.

The previous prime is 901429. The next prime is 901441. The reversal of 901440 is 44109.

It can be written as a sum of positive squares in 2 ways, for example, as 112896 + 788544 = 336^2 + 888^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 901440.

It is not an unprimeable number, because it can be changed into a prime (901441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2724 + ... + 3036.

2⁹⁰¹⁴⁴⁰ is an apocalyptic number.

901440 is a gapful number since it is divisible by the number (90) 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 901440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555242).

901440 is an abundant number, since it is smaller than the sum of its proper divisors (2209044).

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

901440 is a wasteful number, since it uses less digits than its factorization.

901440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 901440 is about 949.4419413529. The cubic root of 901440 is about 96.6004037893.

Adding to 901440 its reverse (44109), we get a palindrome (945549).

It can be divided in two parts, 90 and 1440, that multiplied together give a square (129600 = 360²).

The spelling of 901440 in words is "nine hundred one thousand, four hundred forty".