541908640 has 216 divisors, whose sum is σ = 1616596380. Its totient is φ = 171085824.

The previous prime is 541908611. The next prime is 541908667. The reversal of 541908640 is 46809145.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 156650256 + 385258384 = 12516^2 + 19628^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 541908640.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1324756 + ... + 1325164.

Almost surely, 2^541908640 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 541908640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808298190).

541908640 is an abundant number, since it is smaller than the sum of its proper divisors (1074687740).

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

541908640 is a wasteful number, since it uses less digits than its factorization.

541908640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 541908640 is about 23278.9312469452. The cubic root of 541908640 is about 815.2835727683.

The spelling of 541908640 in words is "five hundred forty-one million, nine hundred eight thousand, six hundred forty".