542456850 has 96 divisors (see below), whose sum is σ = 1459281600. Its totient is φ = 132560640.

The previous prime is 542456833. The next prime is 542456851. The reversal of 542456850 is 58654245.

It is a super-2 number, since 2×542456850² = 588518868223845000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 542456799 and 542456808.

It is not an unprimeable number, because it can be changed into a prime (542456851) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 289617 + ... + 291483.

It is an arithmetic number, because the mean of its divisors is an integer number (15200850).

Almost surely, 2^542456850 is an apocalyptic number.

542456850 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 542456850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729640800).

542456850 is an abundant number, since it is smaller than the sum of its proper divisors (916824750).

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

542456850 is a wasteful number, since it uses less digits than its factorization.

542456850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2044 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 39.

The square root of 542456850 is about 23290.7030808432. The cubic root of 542456850 is about 815.5584013677.

The spelling of 542456850 in words is "five hundred forty-two million, four hundred fifty-six thousand, eight hundred fifty".