542785824 has 144 divisors (see below), whose sum is σ = 1771818048. Its totient is φ = 154400256.

The previous prime is 542785823. The next prime is 542785847. The reversal of 542785824 is 428587245.

542785824 is a `hidden beast` number, since 542 + 7 + 85 + 8 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 542785824.

It is not an unprimeable number, because it can be changed into a prime (542785823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 618474 + ... + 619350.

It is an arithmetic number, because the mean of its divisors is an integer number (12304292).

Almost surely, 2^542785824 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 542785824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885909024).

542785824 is an abundant number, since it is smaller than the sum of its proper divisors (1229032224).

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

542785824 is a wasteful number, since it uses less digits than its factorization.

542785824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 1196 counting only the distinct ones).

The product of its digits is 716800, while the sum is 45.

The square root of 542785824 is about 23297.7643562639. The cubic root of 542785824 is about 815.7232337049.

The spelling of 542785824 in words is "five hundred forty-two million, seven hundred eighty-five thousand, eight hundred twenty-four".