542525040 has 200 divisors, whose sum is σ = 1949919840. Its totient is φ = 139636224.

The previous prime is 542525021. The next prime is 542525041. The reversal of 542525040 is 40525245.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 542524995 and 542525013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542525041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 186477 + ... + 189363.

Almost surely, 2^542525040 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 542525040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974959920).

542525040 is an abundant number, since it is smaller than the sum of its proper divisors (1407394800).

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

542525040 is a wasteful number, since it uses less digits than its factorization.

542525040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2941 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 542525040 is about 23292.1669236677. The cubic root of 542525040 is about 815.5925734235.

The spelling of 542525040 in words is "five hundred forty-two million, five hundred twenty-five thousand, forty".