540037000 has 128 divisors (see below), whose sum is σ = 1363190400. Its totient is φ = 199584000.

The previous prime is 540036997. The next prime is 540037007. The reversal of 540037000 is 730045.

It is a super-2 number, since 2×540037000² = 583279922738000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (540037007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 816670 + ... + 817330.

It is an arithmetic number, because the mean of its divisors is an integer number (10649925).

Almost surely, 2^540037000 is an apocalyptic number.

540037000 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 540037000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681595200).

540037000 is an abundant number, since it is smaller than the sum of its proper divisors (823153400).

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

540037000 is a wasteful number, since it uses less digits than its factorization.

540037000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 540037000 is about 23238.6961768512. The cubic root of 540037000 is about 814.3438833411.

Adding to 540037000 its reverse (730045), we get a palindrome (540767045).

The spelling of 540037000 in words is "five hundred forty million, thirty-seven thousand".