542300240 has 80 divisors (see below), whose sum is σ = 1301702400. Its totient is φ = 210003456.

The previous prime is 542300191. The next prime is 542300263. The reversal of 542300240 is 42003245.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-4 number, since 4×542300240⁴ (a number of 36 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 334151 + ... + 335769.

It is an arithmetic number, because the mean of its divisors is an integer number (16271280).

Almost surely, 2^542300240 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 542300240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650851200).

542300240 is an abundant number, since it is smaller than the sum of its proper divisors (759402160).

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

542300240 is a wasteful number, since it uses less digits than its factorization.

542300240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1764 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 542300240 is about 23287.3407670348. The cubic root of 542300240 is about 815.4799085531.

Adding to 542300240 its reverse (42003245), we get a palindrome (584303485).

The spelling of 542300240 in words is "five hundred forty-two million, three hundred thousand, two hundred forty".