901459540 has 48 divisors (see below), whose sum is σ = 1983389184. Its totient is φ = 343728000.

The previous prime is 901459513. The next prime is 901459547. The reversal of 901459540 is 45954109.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 901459540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (901459547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30690 + ... + 52390.

It is an arithmetic number, because the mean of its divisors is an integer number (41320608).

Almost surely, 2^901459540 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 901459540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991694592).

901459540 is an abundant number, since it is smaller than the sum of its proper divisors (1081929644).

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

901459540 is a wasteful number, since it uses less digits than its factorization.

901459540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21808 (or 21806 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 37.

The square root of 901459540 is about 30024.3158123545. The cubic root of 901459540 is about 966.0110176820.

The spelling of 901459540 in words is "nine hundred one million, four hundred fifty-nine thousand, five hundred forty".