901540000 has 60 divisors (see below), whose sum is σ = 2217972834. Its totient is φ = 360608000.

The previous prime is 901539983. The next prime is 901540027. The reversal of 901540000 is 45109.

It can be written as a sum of positive squares in 5 ways, for example, as 18974736 + 882565264 = 4356^2 + 29708^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 901540000.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2539 + ... + 42538.

Almost surely, 2^901540000 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 901540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108986417).

901540000 is an abundant number, since it is smaller than the sum of its proper divisors (1316432834).

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

901540000 is an equidigital number, since it uses as much as digits as its factorization.

901540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45107 (or 45084 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 901540000 is about 30025.6556964207. The cubic root of 901540000 is about 966.0397573465.

Adding to 901540000 its reverse (45109), we get a palindrome (901585109).

The spelling of 901540000 in words is "nine hundred one million, five hundred forty thousand".