541417032 has 96 divisors (see below), whose sum is σ = 1601570880. Its totient is φ = 164223360.

The previous prime is 541417021. The next prime is 541417049. The reversal of 541417032 is 230714145.

It is a junction number, because it is equal to n+sod(n) for n = 541416987 and 541417005.

It is an unprimeable number.

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, 62383 + ... + 70529.

It is an arithmetic number, because the mean of its divisors is an integer number (16683030).

Almost surely, 2^541417032 is an apocalyptic number.

541417032 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541417032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800785440).

541417032 is an abundant number, since it is smaller than the sum of its proper divisors (1060153848).

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

541417032 is a wasteful number, since it uses less digits than its factorization.

541417032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8243 (or 8236 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 541417032 is about 23268.3697752980. The cubic root of 541417032 is about 815.0369622039.

It can be divided in two parts, 54 and 1417032, that added together give a triangular number (1417086 = T₁₆₈₃).

The spelling of 541417032 in words is "five hundred forty-one million, four hundred seventeen thousand, thirty-two".