541624320 has 240 divisors, whose sum is σ = 1944322380. Its totient is φ = 144211968.

The previous prime is 541624273. The next prime is 541624327. The reversal of 541624320 is 23426145.

541624320 is a `hidden beast` number, since 5 + 4 + 1 + 624 + 32 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 517653504 + 23970816 = 22752^2 + 4896^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (541624327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 829114 + ... + 829766.

Almost surely, 2^541624320 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 541624320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972161190).

541624320 is an abundant number, since it is smaller than the sum of its proper divisors (1402698060).

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

541624320 is an equidigital number, since it uses as much as digits as its factorization.

541624320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 541624320 is about 23272.8236361641. The cubic root of 541624320 is about 815.1409644888.

The spelling of 541624320 in words is "five hundred forty-one million, six hundred twenty-four thousand, three hundred twenty".