541702480 has 120 divisors (see below), whose sum is σ = 1399972896. Its totient is φ = 194768640.

The previous prime is 541702471. The next prime is 541702487. The reversal of 541702480 is 84207145.

541702480 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541702487) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1035499 + ... + 1036021.

Almost surely, 2^541702480 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 541702480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699986448).

541702480 is an abundant number, since it is smaller than the sum of its proper divisors (858270416).

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

541702480 is a wasteful number, since it uses less digits than its factorization.

541702480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The square root of 541702480 is about 23274.5027873852. The cubic root of 541702480 is about 815.1801726945.

The spelling of 541702480 in words is "five hundred forty-one million, seven hundred two thousand, four hundred eighty".