540258000 has 160 divisors (see below), whose sum is σ = 1757982720. Its totient is φ = 142732800.

The previous prime is 540257999. The next prime is 540258007. The reversal of 540258000 is 852045.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540258007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 761646 + ... + 762354.

It is an arithmetic number, because the mean of its divisors is an integer number (10987392).

Almost surely, 2^540258000 is an apocalyptic number.

540258000 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 540258000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878991360).

540258000 is an abundant number, since it is smaller than the sum of its proper divisors (1217724720).

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

540258000 is a wasteful number, since it uses less digits than its factorization.

540258000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 540258000 is about 23243.4506904633. The cubic root of 540258000 is about 814.4549531715.

The spelling of 540258000 in words is "five hundred forty million, two hundred fifty-eight thousand".