541476864 has 144 divisors (see below), whose sum is σ = 1619408700. Its totient is φ = 174096384.

The previous prime is 541476847. The next prime is 541476869. The reversal of 541476864 is 468674145.

541476864 is a `hidden beast` number, since 541 + 47 + 6 + 8 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 474891264 + 66585600 = 21792^2 + 8160^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (541476869) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 534022 + ... + 535034.

Almost surely, 2^541476864 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 541476864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809704350).

541476864 is an abundant number, since it is smaller than the sum of its proper divisors (1077931836).

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

541476864 is a wasteful number, since it uses less digits than its factorization.

541476864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1047 counting only the distinct ones).

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

The square root of 541476864 is about 23269.6554336329. The cubic root of 541476864 is about 815.0669843448.

The spelling of 541476864 in words is "five hundred forty-one million, four hundred seventy-six thousand, eight hundred sixty-four".