541304000 has 112 divisors (see below), whose sum is σ = 1360846656. Its totient is φ = 213248000.

The previous prime is 541303991. The next prime is 541304033. The reversal of 541304000 is 403145.

It is a self number, because there is not a number n which added to its sum of digits gives 541304000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 567524 + ... + 568476.

Almost surely, 2^541304000 is an apocalyptic number.

541304000 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 541304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680423328).

541304000 is an abundant number, since it is smaller than the sum of its proper divisors (819542656).

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

541304000 is an equidigital number, since it uses as much as digits as its factorization.

541304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 541304000 is about 23265.9407718665. The cubic root of 541304000 is about 814.9802396504.

Adding to 541304000 its reverse (403145), we get a palindrome (541707145).

The spelling of 541304000 in words is "five hundred forty-one million, three hundred four thousand".