540734500 has 48 divisors (see below), whose sum is σ = 1200391920. Its totient is φ = 212736000.

The previous prime is 540734437. The next prime is 540734501. The reversal of 540734500 is 5437045.

It can be written as a sum of positive squares in 8 ways, for example, as 289068004 + 251666496 = 17002^2 + 15864^2 .

It is not an unprimeable number, because it can be changed into a prime (540734501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21636 + ... + 39364.

It is an arithmetic number, because the mean of its divisors is an integer number (25008165).

Almost surely, 2^540734500 is an apocalyptic number.

540734500 is a gapful number since it is divisible by the number (50) 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 540734500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600195960).

540734500 is an abundant number, since it is smaller than the sum of its proper divisors (659657420).

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

540734500 is a wasteful number, since it uses less digits than its factorization.

540734500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17809 (or 17797 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 28.

The square root of 540734500 is about 23253.6986305405. The cubic root of 540734500 is about 814.6943287692.

The spelling of 540734500 in words is "five hundred forty million, seven hundred thirty-four thousand, five hundred".