541975776 has 96 divisors (see below), whose sum is σ = 1512610848. Its totient is φ = 169328640.

The previous prime is 541975769. The next prime is 541975823. The reversal of 541975776 is 677579145.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 510286 + ... + 511346.

It is an arithmetic number, because the mean of its divisors is an integer number (15756363).

Almost surely, 2^541975776 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 541975776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756305424).

541975776 is an abundant number, since it is smaller than the sum of its proper divisors (970635072).

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

541975776 is a wasteful number, since it uses less digits than its factorization.

541975776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404 (or 1396 counting only the distinct ones).

The product of its digits is 1852200, while the sum is 51.

The square root of 541975776 is about 23280.3731928850. The cubic root of 541975776 is about 815.3172393397.

The spelling of 541975776 in words is "five hundred forty-one million, nine hundred seventy-five thousand, seven hundred seventy-six".