541553408 has 54 divisors (see below), whose sum is σ = 1188265092. Its totient is φ = 246146560.

The previous prime is 541553401. The next prime is 541553413. The reversal of 541553408 is 804355145.

It is not an unprimeable number, because it can be changed into a prime (541553401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22235 + ... + 39717.

Almost surely, 2^541553408 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 541553408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594132546).

541553408 is an abundant number, since it is smaller than the sum of its proper divisors (646711684).

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

541553408 is a wasteful number, since it uses less digits than its factorization.

541553408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17521 (or 17496 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

The square root of 541553408 is about 23271.3000926033. The cubic root of 541553408 is about 815.1053889082.

The spelling of 541553408 in words is "five hundred forty-one million, five hundred fifty-three thousand, four hundred eight".