540714000 has 160 divisors (see below), whose sum is σ = 1755351936. Its totient is φ = 143193600.

The previous prime is 540713981. The next prime is 540714007. The reversal of 540714000 is 417045.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540714007) 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, 1361802 + ... + 1362198.

Almost surely, 2^540714000 is an apocalyptic number.

540714000 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 540714000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877675968).

540714000 is an abundant number, since it is smaller than the sum of its proper divisors (1214637936).

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

540714000 is a wasteful number, since it uses less digits than its factorization.

540714000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 540714000 is about 23253.2578362689. The cubic root of 540714000 is about 814.6840332392.

The spelling of 540714000 in words is "five hundred forty million, seven hundred fourteen thousand".