541331208 has 128 divisors (see below), whose sum is σ = 1663401600. Its totient is φ = 161740800.

The previous prime is 541331183. The next prime is 541331209. The reversal of 541331208 is 802133145.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (541331209) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171888 + ... + 175008.

It is an arithmetic number, because the mean of its divisors is an integer number (12995325).

Almost surely, 2^541331208 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 541331208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831700800).

541331208 is an abundant number, since it is smaller than the sum of its proper divisors (1122070392).

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

541331208 is a wasteful number, since it uses less digits than its factorization.

541331208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3220 (or 3210 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 541331208 is about 23266.5254819021. The cubic root of 541331208 is about 814.9938940915.

The spelling of 541331208 in words is "five hundred forty-one million, three hundred thirty-one thousand, two hundred eight".