542661700 has 72 divisors (see below), whose sum is σ = 1371287232. Its totient is φ = 182532480.

The previous prime is 542661649. The next prime is 542661703. The reversal of 542661700 is 7166245.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (542661703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29787 + ... + 44413.

It is an arithmetic number, because the mean of its divisors is an integer number (19045656).

Almost surely, 2^542661700 is an apocalyptic number.

542661700 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542661700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685643616).

542661700 is an abundant number, since it is smaller than the sum of its proper divisors (828625532).

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

542661700 is a wasteful number, since it uses less digits than its factorization.

542661700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14701 (or 14694 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 542661700 is about 23295.1003432052. The cubic root of 542661700 is about 815.6610492329.

The spelling of 542661700 in words is "five hundred forty-two million, six hundred sixty-one thousand, seven hundred".