542666880 has 384 divisors, whose sum is σ = 2198401920. Its totient is φ = 120766464.

The previous prime is 542666867. The next prime is 542666893. The reversal of 542666880 is 88666245.

It is an interprime number because it is at equal distance from previous prime (542666867) and next prime (542666893).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1733604 + ... + 1733916.

It is an arithmetic number, because the mean of its divisors is an integer number (5725005).

Almost surely, 2^542666880 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 542666880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099200960).

542666880 is an abundant number, since it is smaller than the sum of its proper divisors (1655735040).

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

542666880 is a wasteful number, since it uses less digits than its factorization.

542666880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 542666880 is about 23295.2115251182. The cubic root of 542666880 is about 815.6636445335.

The spelling of 542666880 in words is "five hundred forty-two million, six hundred sixty-six thousand, eight hundred eighty".