541217280 has 160 divisors (see below), whose sum is σ = 1821758400. Its totient is φ = 136691712.

The previous prime is 541217279. The next prime is 541217297. The reversal of 541217280 is 82712145.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×541217280² = 585832288341196800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 144066 + ... + 147774.

It is an arithmetic number, because the mean of its divisors is an integer number (11385990).

Almost surely, 2^541217280 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 541217280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910879200).

541217280 is an abundant number, since it is smaller than the sum of its proper divisors (1280541120).

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

541217280 is a wasteful number, since it uses less digits than its factorization.

541217280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3754 (or 3738 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 541217280 is about 23264.0770287583. The cubic root of 541217280 is about 814.9367158259.

The spelling of 541217280 in words is "five hundred forty-one million, two hundred seventeen thousand, two hundred eighty".