542980800 has 168 divisors, whose sum is σ = 1979523600. Its totient is φ = 144783360.

The previous prime is 542980787. The next prime is 542980829. The reversal of 542980800 is 8089245.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36916 + ... + 49484.

Almost surely, 2^542980800 is an apocalyptic number.

542980800 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 542980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989761800).

542980800 is an abundant number, since it is smaller than the sum of its proper divisors (1436542800).

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

542980800 is a wasteful number, since it uses less digits than its factorization.

542980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12600 (or 12579 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 542980800 is about 23301.9484163878. The cubic root of 542980800 is about 815.8208949469.

The spelling of 542980800 in words is "five hundred forty-two million, nine hundred eighty thousand, eight hundred".