542382720 has 256 divisors, whose sum is σ = 1921484160. Its totient is φ = 129024000.

The previous prime is 542382697. The next prime is 542382787. The reversal of 542382720 is 27283245.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1288110 + ... + 1288530.

Almost surely, 2^542382720 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 542382720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960742080).

542382720 is an abundant number, since it is smaller than the sum of its proper divisors (1379101440).

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

542382720 is a wasteful number, since it uses less digits than its factorization.

542382720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 542382720 is about 23289.1116189519. Note that the first 3 decimals coincide. The cubic root of 542382720 is about 815.5212493506.

The spelling of 542382720 in words is "five hundred forty-two million, three hundred eighty-two thousand, seven hundred twenty".