541516800 has 264 divisors, whose sum is σ = 1955490912. Its totient is φ = 131072000.

The previous prime is 541516799. The next prime is 541516823. The reversal of 541516800 is 8615145.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 844480 + ... + 845120.

Almost surely, 2^541516800 is an apocalyptic number.

541516800 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 541516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977745456).

541516800 is an abundant number, since it is smaller than the sum of its proper divisors (1413974112).

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

541516800 is a wasteful number, since it uses less digits than its factorization.

541516800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 541516800 is about 23270.5135310762. The cubic root of 541516800 is about 815.0870219598.

The spelling of 541516800 in words is "five hundred forty-one million, five hundred sixteen thousand, eight hundred".