542352720 has 320 divisors, whose sum is σ = 2179860480. Its totient is φ = 108324864.

The previous prime is 542352677. The next prime is 542352737. The reversal of 542352720 is 27253245.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 414307 + ... + 415613.

It is an arithmetic number, because the mean of its divisors is an integer number (6812064).

Almost surely, 2^542352720 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 542352720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089930240).

542352720 is an abundant number, since it is smaller than the sum of its proper divisors (1637507760).

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

542352720 is a wasteful number, since it uses less digits than its factorization.

542352720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 542352720 is about 23288.4675322358. The cubic root of 542352720 is about 815.5062131731.

The spelling of 542352720 in words is "five hundred forty-two million, three hundred fifty-two thousand, seven hundred twenty".