541812480 has 288 divisors, whose sum is σ = 1921425408. Its totient is φ = 129024000.

The previous prime is 541812473. The next prime is 541812487. The reversal of 541812480 is 84218145.

541812480 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (541812473) and next prime (541812487).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541812487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4266177 + ... + 4266303.

It is an arithmetic number, because the mean of its divisors is an integer number (6671616).

Almost surely, 2^541812480 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 541812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960712704).

541812480 is an abundant number, since it is smaller than the sum of its proper divisors (1379612928).

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

541812480 is a wasteful number, since it uses less digits than its factorization.

541812480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 541812480 is about 23276.8657683976. The cubic root of 541812480 is about 815.2353467390.

The spelling of 541812480 in words is "five hundred forty-one million, eight hundred twelve thousand, four hundred eighty".