541303560 has 320 divisors, whose sum is σ = 2153606400. Its totient is φ = 119314944.

The previous prime is 541303549. The next prime is 541303571. The reversal of 541303560 is 65303145.

541303560 is a `hidden beast` number, since 541 + 30 + 35 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (541303549) and next prime (541303571).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 657309 + ... + 658131.

It is an arithmetic number, because the mean of its divisors is an integer number (6730020).

Almost surely, 2^541303560 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 541303560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076803200).

541303560 is an abundant number, since it is smaller than the sum of its proper divisors (1612302840).

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

541303560 is a wasteful number, since it uses less digits than its factorization.

541303560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 541303560 is about 23265.9313159822. The cubic root of 541303560 is about 814.9800188309.

The spelling of 541303560 in words is "five hundred forty-one million, three hundred three thousand, five hundred sixty".