541644480 has 672 divisors, whose sum is σ = 2276636544. Its totient is φ = 116785152.

The previous prime is 541644479. The next prime is 541644487. The reversal of 541644480 is 84446145.

It is a happy number.

541644480 is a `hidden beast` number, since 5 + 4 + 1 + 644 + 4 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541644487) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14639022 + ... + 14639058.

It is an arithmetic number, because the mean of its divisors is an integer number (3387852).

Almost surely, 2^541644480 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 541644480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138318272).

541644480 is an abundant number, since it is smaller than the sum of its proper divisors (1734992064).

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

541644480 is a wasteful number, since it uses less digits than its factorization.

541644480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 541644480 is about 23273.2567553405. The cubic root of 541644480 is about 815.1510779182.

The spelling of 541644480 in words is "five hundred forty-one million, six hundred forty-four thousand, four hundred eighty".