541438464 has 160 divisors (see below), whose sum is σ = 1694284416. Its totient is φ = 150405120.

The previous prime is 541438463. The next prime is 541438489. The reversal of 541438464 is 464834145.

It is a super-2 number, since 2×541438464² = 586311220597358592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (541438463) 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, 397144 + ... + 398504.

Almost surely, 2^541438464 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 541438464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847142208).

541438464 is an abundant number, since it is smaller than the sum of its proper divisors (1152845952).

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

541438464 is a wasteful number, since it uses less digits than its factorization.

541438464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 1410 counting only the distinct ones).

The product of its digits is 184320, while the sum is 39.

The square root of 541438464 is about 23268.8303100951. The cubic root of 541438464 is about 815.0477164781.

The spelling of 541438464 in words is "five hundred forty-one million, four hundred thirty-eight thousand, four hundred sixty-four".