540769032 has 192 divisors, whose sum is σ = 1637064000. Its totient is φ = 160538112.

The previous prime is 540769007. The next prime is 540769057. The reversal of 540769032 is 230967045.

It is an interprime number because it is at equal distance from previous prime (540769007) and next prime (540769057).

It is a super-2 number, since 2×540769032² = 584862291940434048, which contains 22 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 1705738 + ... + 1706054.

It is an arithmetic number, because the mean of its divisors is an integer number (8526375).

Almost surely, 2^540769032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540769032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818532000).

540769032 is an abundant number, since it is smaller than the sum of its proper divisors (1096294968).

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

540769032 is a wasteful number, since it uses less digits than its factorization.

540769032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 540769032 is about 23254.4411242240. The cubic root of 540769032 is about 814.7116708756.

The spelling of 540769032 in words is "five hundred forty million, seven hundred sixty-nine thousand, thirty-two".