541972992 has 80 divisors (see below), whose sum is σ = 1575158112. Its totient is φ = 164229120.

The previous prime is 541972979. The next prime is 541972999. The reversal of 541972992 is 299279145.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (541972999) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 858 + ... + 32934.

Almost surely, 2^541972992 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 541972992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787579056).

541972992 is an abundant number, since it is smaller than the sum of its proper divisors (1033185120).

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

541972992 is a wasteful number, since it uses less digits than its factorization.

541972992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32109 (or 32093 counting only the distinct ones).

The product of its digits is 408240, while the sum is 48.

The square root of 541972992 is about 23280.3133999523. The cubic root of 541972992 is about 815.3158433074.

The spelling of 541972992 in words is "five hundred forty-one million, nine hundred seventy-two thousand, nine hundred ninety-two".