541399680 has 512 divisors, whose sum is σ = 2159136000. Its totient is φ = 127401984.

The previous prime is 541399679. The next prime is 541399687. The reversal of 541399680 is 86993145.

It is a happy number.

It is a super-2 number, since 2×541399680² = 586227227008204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541399687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5581392 + ... + 5581488.

Almost surely, 2^541399680 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 541399680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079568000).

541399680 is an abundant number, since it is smaller than the sum of its proper divisors (1617736320).

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

541399680 is a wasteful number, since it uses less digits than its factorization.

541399680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 541399680 is about 23267.9969056212. The cubic root of 541399680 is about 815.0282550080.

The spelling of 541399680 in words is "five hundred forty-one million, three hundred ninety-nine thousand, six hundred eighty".