542559024 has 240 divisors, whose sum is σ = 1819883520. Its totient is φ = 147640320.

The previous prime is 542559019. The next prime is 542559037. The reversal of 542559024 is 420955245.

542559024 is a `hidden beast` number, since 5 + 42 + 5 + 590 + 24 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 542559024.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3030967 + ... + 3031145.

It is an arithmetic number, because the mean of its divisors is an integer number (7582848).

Almost surely, 2^542559024 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 542559024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909941760).

542559024 is an abundant number, since it is smaller than the sum of its proper divisors (1277324496).

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

542559024 is a wasteful number, since it uses less digits than its factorization.

542559024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 542559024 is about 23292.8964278812. The cubic root of 542559024 is about 815.6096027569.

The spelling of 542559024 in words is "five hundred forty-two million, five hundred fifty-nine thousand, twenty-four".