542606850 has 288 divisors, whose sum is σ = 1667143296. Its totient is φ = 130636800.

The previous prime is 542606837. The next prime is 542606851. The reversal of 542606850 is 58606245.

542606850 is a `hidden beast` number, since 5 + 42 + 606 + 8 + 5 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542606851) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7642315 + ... + 7642385.

It is an arithmetic number, because the mean of its divisors is an integer number (5788692).

Almost surely, 2^542606850 is an apocalyptic number.

542606850 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 542606850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833571648).

542606850 is an abundant number, since it is smaller than the sum of its proper divisors (1124536446).

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

542606850 is a wasteful number, since it uses less digits than its factorization.

542606850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 542606850 is about 23293.9230272619. The cubic root of 542606850 is about 815.6335670919.

The spelling of 542606850 in words is "five hundred forty-two million, six hundred six thousand, eight hundred fifty".