542545920 has 432 divisors, whose sum is σ = 2225648880. Its totient is φ = 119734272.

The previous prime is 542545909. The next prime is 542545933. The reversal of 542545920 is 29545245.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18708466 + ... + 18708494.

It is an arithmetic number, because the mean of its divisors is an integer number (5151965).

Almost surely, 2^542545920 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 542545920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112824440).

542545920 is an abundant number, since it is smaller than the sum of its proper divisors (1683102960).

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

542545920 is a wasteful number, since it uses less digits than its factorization.

542545920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 46 counting only the distinct ones).

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

The square root of 542545920 is about 23292.6151387087. The cubic root of 542545920 is about 815.6030364456.

The spelling of 542545920 in words is "five hundred forty-two million, five hundred forty-five thousand, nine hundred twenty".