541864764 has 72 divisors (see below), whose sum is σ = 1568647808. Its totient is φ = 154496160.

The previous prime is 541864759. The next prime is 541864789. The reversal of 541864764 is 467468145.

541864764 is a `hidden beast` number, since 541 + 8 + 6 + 47 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135879 + ... + 139809.

Almost surely, 2^541864764 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 541864764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784323904).

541864764 is an abundant number, since it is smaller than the sum of its proper divisors (1026783044).

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

541864764 is a wasteful number, since it uses less digits than its factorization.

541864764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4495 (or 4490 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 541864764 is about 23277.9888306529. The cubic root of 541864764 is about 815.2615688456.

The spelling of 541864764 in words is "five hundred forty-one million, eight hundred sixty-four thousand, seven hundred sixty-four".