541572480 has 320 divisors, whose sum is σ = 2002366080. Its totient is φ = 139345920.

The previous prime is 541572463. The next prime is 541572481. The reversal of 541572480 is 84275145.

541572480 is a `hidden beast` number, since 5 + 4 + 1 + 572 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541572481) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1606872 + ... + 1607208.

It is an arithmetic number, because the mean of its divisors is an integer number (6257394).

Almost surely, 2^541572480 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 541572480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001183040).

541572480 is an abundant number, since it is smaller than the sum of its proper divisors (1460793600).

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

541572480 is a wasteful number, since it uses less digits than its factorization.

541572480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 541572480 is about 23271.7098641247. The cubic root of 541572480 is about 815.1149573750.

The spelling of 541572480 in words is "five hundred forty-one million, five hundred seventy-two thousand, four hundred eighty".