541527264 has 144 divisors (see below), whose sum is σ = 1602160560. Its totient is φ = 173352960.

The previous prime is 541527263. The next prime is 541527269. The reversal of 541527264 is 462725145.

It is a happy number.

541527264 is a `hidden beast` number, since 541 + 52 + 7 + 2 + 64 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541527263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 948099 + ... + 948669.

It is an arithmetic number, because the mean of its divisors is an integer number (11126115).

Almost surely, 2^541527264 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 541527264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801080280).

541527264 is an abundant number, since it is smaller than the sum of its proper divisors (1060633296).

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

541527264 is a wasteful number, since it uses less digits than its factorization.

541527264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 702 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 541527264 is about 23270.7383638766. The cubic root of 541527264 is about 815.0922720374.

It can be divided in two parts, 54152 and 7264, that added together give a palindrome (61416).

The spelling of 541527264 in words is "five hundred forty-one million, five hundred twenty-seven thousand, two hundred sixty-four".