450000540 has 288 divisors, whose sum is σ = 1634592960. Its totient is φ = 98918400.

The previous prime is 450000539. The next prime is 450000559. The reversal of 450000540 is 45000054.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 975910 + ... + 976370.

It is an arithmetic number, because the mean of its divisors is an integer number (5675670).

Almost surely, 2^450000540 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 450000540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817296480).

450000540 is an abundant number, since it is smaller than the sum of its proper divisors (1184592420).

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

450000540 is a wasteful number, since it uses less digits than its factorization.

450000540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 450000540 is about 21213.2161635147. The cubic root of 450000540 is about 766.3097389172.

Adding to 450000540 its reverse (45000054), we get a palindrome (495000594).

The spelling of 450000540 in words is "four hundred fifty million, five hundred forty", and thus it is an aban number.