541563288 has 192 divisors, whose sum is σ = 1690191360. Its totient is φ = 143668224.

The previous prime is 541563287. The next prime is 541563299. The reversal of 541563288 is 882365145.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541563287) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2059045 + ... + 2059307.

It is an arithmetic number, because the mean of its divisors is an integer number (8803080).

Almost surely, 2^541563288 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 541563288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845095680).

541563288 is an abundant number, since it is smaller than the sum of its proper divisors (1148628072).

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

541563288 is a wasteful number, since it uses less digits than its factorization.

541563288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 395 counting only the distinct ones).

The product of its digits is 230400, while the sum is 42.

The square root of 541563288 is about 23271.5123702780. The cubic root of 541563288 is about 815.1103457553.

The spelling of 541563288 in words is "five hundred forty-one million, five hundred sixty-three thousand, two hundred eighty-eight".