541213920 has 384 divisors, whose sum is σ = 2133734400. Its totient is φ = 127125504.

The previous prime is 541213889. The next prime is 541213927. The reversal of 541213920 is 29312145.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541213927) 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, 1291471 + ... + 1291889.

It is an arithmetic number, because the mean of its divisors is an integer number (5556600).

Almost surely, 2^541213920 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 541213920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066867200).

541213920 is an abundant number, since it is smaller than the sum of its proper divisors (1592520480).

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

541213920 is a wasteful number, since it uses less digits than its factorization.

541213920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 541213920 is about 23264.0048143049. The cubic root of 541213920 is about 814.9350293849.

The spelling of 541213920 in words is "five hundred forty-one million, two hundred thirteen thousand, nine hundred twenty".