542384640 has 640 divisors, whose sum is σ = 2356992000. Its totient is φ = 115458048.

The previous prime is 542384639. The next prime is 542384663. The reversal of 542384640 is 46483245.

542384640 is a `hidden beast` number, since 5 + 4 + 2 + 3 + 8 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 = 542384595 and 542384604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9192931 + ... + 9192989.

It is an arithmetic number, because the mean of its divisors is an integer number (3682800).

Almost surely, 2^542384640 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 542384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178496000).

542384640 is an abundant number, since it is smaller than the sum of its proper divisors (1814607360).

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

542384640 is a wasteful number, since it uses less digits than its factorization.

542384640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 542384640 is about 23289.1528398952. The cubic root of 542384640 is about 815.5222116471.

The spelling of 542384640 in words is "five hundred forty-two million, three hundred eighty-four thousand, six hundred forty".