540354000 has 80 divisors (see below), whose sum is σ = 1742120640. Its totient is φ = 144092800.

The previous prime is 540353981. The next prime is 540354007. The reversal of 540354000 is 453045.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540354007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39030 + ... + 51029.

It is an arithmetic number, because the mean of its divisors is an integer number (21776508).

Almost surely, 2^540354000 is an apocalyptic number.

540354000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

540354000 is an abundant number, since it is smaller than the sum of its proper divisors (1201766640).

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

540354000 is a wasteful number, since it uses less digits than its factorization.

540354000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90085 (or 90069 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 540354000 is about 23245.5156965811. The cubic root of 540354000 is about 814.5031912632.

The spelling of 540354000 in words is "five hundred forty million, three hundred fifty-four thousand".