542517940 has 48 divisors (see below), whose sum is σ = 1214514000. Its totient is φ = 202852352.

The previous prime is 542517929. The next prime is 542517959. The reversal of 542517940 is 49715245.

It can be written as a sum of positive squares in 8 ways, for example, as 12873744 + 529644196 = 3588^2 + 23014^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 542517940.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45306 + ... + 56014.

It is an arithmetic number, because the mean of its divisors is an integer number (25302375).

Almost surely, 2^542517940 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 542517940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607257000).

542517940 is an abundant number, since it is smaller than the sum of its proper divisors (671996060).

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

542517940 is a wasteful number, since it uses less digits than its factorization.

542517940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10884 (or 10882 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The square root of 542517940 is about 23292.0145114157. The cubic root of 542517940 is about 815.5890155339.

The spelling of 542517940 in words is "five hundred forty-two million, five hundred seventeen thousand, nine hundred forty".