542880800 has 216 divisors, whose sum is σ = 1683173520. Its totient is φ = 169075200.

The previous prime is 542880781. The next prime is 542880803. The reversal of 542880800 is 8088245.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (542880803) 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 35 ways as a sum of consecutive naturals, for example, 430571 + ... + 431829.

It is an arithmetic number, because the mean of its divisors is an integer number (7792470).

Almost surely, 2^542880800 is an apocalyptic number.

542880800 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 542880800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841586760).

542880800 is an abundant number, since it is smaller than the sum of its proper divisors (1140292720).

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

542880800 is a wasteful number, since it uses less digits than its factorization.

542880800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 35.

The square root of 542880800 is about 23299.8025742709. The cubic root of 542880800 is about 815.7708090149.

The spelling of 542880800 in words is "five hundred forty-two million, eight hundred eighty thousand, eight hundred".