541272816 has 180 divisors, whose sum is σ = 1806071904. Its totient is φ = 150796800.

The previous prime is 541272773. The next prime is 541272829. The reversal of 541272816 is 618272145.

It is a super-2 number, since 2×541272816² = 585952522681139712, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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, 288361 + ... + 290231.

Almost surely, 2^541272816 is an apocalyptic number.

541272816 is a gapful number since it is divisible by the number (56) 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 541272816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903035952).

541272816 is an abundant number, since it is smaller than the sum of its proper divisors (1264799088).

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

541272816 is a wasteful number, since it uses less digits than its factorization.

541272816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1940 (or 1924 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 541272816 is about 23265.2705980395. The cubic root of 541272816 is about 814.9645892753.

The spelling of 541272816 in words is "five hundred forty-one million, two hundred seventy-two thousand, eight hundred sixteen".