541270080 has 448 divisors, whose sum is σ = 2116531200. Its totient is φ = 129392640.

The previous prime is 541270073. The next prime is 541270087. The reversal of 541270080 is 80072145.

It is an interprime number because it is at equal distance from previous prime (541270073) and next prime (541270087).

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

It is not an unprimeable number, because it can be changed into a prime (541270087) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6851481 + ... + 6851559.

It is an arithmetic number, because the mean of its divisors is an integer number (4724400).

Almost surely, 2^541270080 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 541270080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058265600).

541270080 is an abundant number, since it is smaller than the sum of its proper divisors (1575261120).

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

541270080 is a wasteful number, since it uses less digits than its factorization.

541270080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 541270080 is about 23265.2117978754. The cubic root of 541270080 is about 814.9632161250.

The spelling of 541270080 in words is "five hundred forty-one million, two hundred seventy thousand, eighty".