540451305 has 64 divisors (see below), whose sum is σ = 991077120. Its totient is φ = 279272448.

The previous prime is 540451291. The next prime is 540451349. The reversal of 540451305 is 503154045.

It is not a de Polignac number, because 540451305 - 2⁵ = 540451273 is a prime.

It is a super-2 number, since 2×540451305² = 584175226152406050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 911089 + ... + 911681.

It is an arithmetic number, because the mean of its divisors is an integer number (15485580).

Almost surely, 2^540451305 is an apocalyptic number.

It is an amenable number.

540451305 is a deficient number, since it is larger than the sum of its proper divisors (450625815).

540451305 is a wasteful number, since it uses less digits than its factorization.

540451305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 540451305 is about 23247.6085866912. The cubic root of 540451305 is about 814.5520792614.

The spelling of 540451305 in words is "five hundred forty million, four hundred fifty-one thousand, three hundred five".