541872480 has 48 divisors (see below), whose sum is σ = 1706899824. Its totient is φ = 144499200.

The previous prime is 541872439. The next prime is 541872481. The reversal of 541872480 is 84278145.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541872481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 563971 + ... + 564930.

It is an arithmetic number, because the mean of its divisors is an integer number (35560413).

Almost surely, 2^541872480 is an apocalyptic number.

It is an amenable number.

541872480 is an abundant number, since it is smaller than the sum of its proper divisors (1165027344).

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

541872480 is a wasteful number, since it uses less digits than its factorization.

541872480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128919 (or 1128911 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The square root of 541872480 is about 23278.1545660304. The cubic root of 541872480 is about 815.2654385248.

The spelling of 541872480 in words is "five hundred forty-one million, eight hundred seventy-two thousand, four hundred eighty".