541984320 has 84 divisors (see below), whose sum is σ = 1864210140. Its totient is φ = 144528384.

The previous prime is 541984309. The next prime is 541984349. The reversal of 541984320 is 23489145.

541984320 is a `hidden beast` number, since 541 + 9 + 84 + 32 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 127780416 + 414203904 = 11304^2 + 20352^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91215 + ... + 96974.

Almost surely, 2^541984320 is an apocalyptic number.

It is an amenable number.

541984320 is an abundant number, since it is smaller than the sum of its proper divisors (1322225820).

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

541984320 is a wasteful number, since it uses less digits than its factorization.

541984320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188212 (or 188199 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 541984320 is about 23280.5566943748. The cubic root of 541984320 is about 815.3215236849.

The spelling of 541984320 in words is "five hundred forty-one million, nine hundred eighty-four thousand, three hundred twenty".