542056320 has 512 divisors, whose sum is σ = 2193408000. Its totient is φ = 125411328.

The previous prime is 542056283. The next prime is 542056343. The reversal of 542056320 is 23650245.

542056320 is a `hidden beast` number, since 5 + 4 + 20 + 5 + 632 + 0 = 666.

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

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, 4268097 + ... + 4268223.

It is an arithmetic number, because the mean of its divisors is an integer number (4284000).

Almost surely, 2^542056320 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 542056320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096704000).

542056320 is an abundant number, since it is smaller than the sum of its proper divisors (1651351680).

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

542056320 is a wasteful number, since it uses less digits than its factorization.

542056320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 542056320 is about 23282.1029977964. The cubic root of 542056320 is about 815.3576259289.

The spelling of 542056320 in words is "five hundred forty-two million, fifty-six thousand, three hundred twenty".