540175824 has 40 divisors (see below), whose sum is σ = 1550505920. Its totient is φ = 180058464.

The previous prime is 540175817. The next prime is 540175829. The reversal of 540175824 is 428571045.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540175829) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 624772 + ... + 625635.

It is an arithmetic number, because the mean of its divisors is an integer number (38762648).

Almost surely, 2^540175824 is an apocalyptic number.

540175824 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

540175824 is an abundant number, since it is smaller than the sum of its proper divisors (1010330096).

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

540175824 is a wasteful number, since it uses less digits than its factorization.

540175824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250424 (or 1250412 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 540175824 is about 23241.6828994804. The cubic root of 540175824 is about 814.4136568255.

It can be divided in two parts, 5401 and 75824, that added together give a square (81225 = 285²).

The spelling of 540175824 in words is "five hundred forty million, one hundred seventy-five thousand, eight hundred twenty-four".