541512464 has 80 divisors (see below), whose sum is σ = 1171591680. Its totient is φ = 241367040.

The previous prime is 541512463. The next prime is 541512523. The reversal of 541512464 is 464215145.

It is a self number, because there is not a number n which added to its sum of digits gives 541512464.

It is not an unprimeable number, because it can be changed into a prime (541512463) 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, 347912 + ... + 349464.

It is an arithmetic number, because the mean of its divisors is an integer number (14644896).

Almost surely, 2^541512464 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 541512464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585795840).

541512464 is an abundant number, since it is smaller than the sum of its proper divisors (630079216).

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

541512464 is a wasteful number, since it uses less digits than its factorization.

541512464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 1642 counting only the distinct ones).

The product of its digits is 19200, while the sum is 32.

The square root of 541512464 is about 23270.4203657777. The cubic root of 541512464 is about 815.0848464491.

The spelling of 541512464 in words is "five hundred forty-one million, five hundred twelve thousand, four hundred sixty-four".