541426512 has 80 divisors (see below), whose sum is σ = 1528920000. Its totient is φ = 163737600.

The previous prime is 541426499. The next prime is 541426517. The reversal of 541426512 is 215624145.

It is a super-2 number, since 2×541426512² = 586285335792972288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 541426512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541426517) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 432864 + ... + 434112.

It is an arithmetic number, because the mean of its divisors is an integer number (19111500).

Almost surely, 2^541426512 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 541426512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764460000).

541426512 is an abundant number, since it is smaller than the sum of its proper divisors (987493488).

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

541426512 is a wasteful number, since it uses less digits than its factorization.

541426512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2092 (or 2086 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 541426512 is about 23268.5734844231. The cubic root of 541426512 is about 815.0417191687.

The spelling of 541426512 in words is "five hundred forty-one million, four hundred twenty-six thousand, five hundred twelve".