542217984 has 288 divisors, whose sum is σ = 1843720704. Its totient is φ = 137379840.

The previous prime is 542217937. The next prime is 542218007. The reversal of 542217984 is 489712245.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 3134122 + ... + 3134294.

It is an arithmetic number, because the mean of its divisors is an integer number (6401808).

Almost surely, 2^542217984 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 542217984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921860352).

542217984 is an abundant number, since it is smaller than the sum of its proper divisors (1301502720).

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

542217984 is a wasteful number, since it uses less digits than its factorization.

542217984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 249 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 542217984 is about 23285.5745902909. The cubic root of 542217984 is about 815.4386758545.

It can be divided in two parts, 54 and 2217984, that multiplied together give a square (119771136 = 10944²).

The spelling of 542217984 in words is "five hundred forty-two million, two hundred seventeen thousand, nine hundred eighty-four".