541315404 has 72 divisors (see below), whose sum is σ = 1569055488. Its totient is φ = 154141920.

The previous prime is 541315391. The next prime is 541315409. The reversal of 541315404 is 404513145.

541315404 = T₂₃₉ + T₂₄₀ + ... + T₁₄₈₂.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (541315409) 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, 74919 + ... + 81825.

Almost surely, 2^541315404 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 541315404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784527744).

541315404 is an abundant number, since it is smaller than the sum of its proper divisors (1027740084).

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

541315404 is a wasteful number, since it uses less digits than its factorization.

541315404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7235 (or 7230 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 541315404 is about 23266.1858498551. The cubic root of 541315404 is about 814.9859628480.

Adding to 541315404 its reverse (404513145), we get a palindrome (945828549).

The spelling of 541315404 in words is "five hundred forty-one million, three hundred fifteen thousand, four hundred four".