541072504 has 48 divisors (see below), whose sum is σ = 1183675680. Its totient is φ = 231194880.

The previous prime is 541072471. The next prime is 541072523. The reversal of 541072504 is 405270145.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 141984 + ... + 145744.

It is an arithmetic number, because the mean of its divisors is an integer number (24659910).

Almost surely, 2^541072504 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 541072504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591837840).

541072504 is an abundant number, since it is smaller than the sum of its proper divisors (642603176).

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

541072504 is a wasteful number, since it uses less digits than its factorization.

541072504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4148 (or 4137 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 28.

The square root of 541072504 is about 23260.9652422250. The cubic root of 541072504 is about 814.8640439655.

The spelling of 541072504 in words is "five hundred forty-one million, seventy-two thousand, five hundred four".