542867040 has 144 divisors (see below), whose sum is σ = 1912450176. Its totient is φ = 140083200.

The previous prime is 542867033. The next prime is 542867041. The reversal of 542867040 is 40768245.

542867040 is a `hidden beast` number, since 542 + 8 + 6 + 70 + 40 = 666.

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

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 542866986 and 542867004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542867041) 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, 38560 + ... + 50720.

It is an arithmetic number, because the mean of its divisors is an integer number (13280904).

Almost surely, 2^542867040 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 542867040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956225088).

542867040 is an abundant number, since it is smaller than the sum of its proper divisors (1369583136).

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

542867040 is a wasteful number, since it uses less digits than its factorization.

542867040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12213 (or 12202 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 542867040 is about 23299.5072909278. The cubic root of 542867040 is about 815.7639167093.

The spelling of 542867040 in words is "five hundred forty-two million, eight hundred sixty-seven thousand, forty".