541978496 has 64 divisors (see below), whose sum is σ = 1203498000. Its totient is φ = 241606656.

The previous prime is 541978483. The next prime is 541978511. The reversal of 541978496 is 694879145.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34790 + ... + 47898.

Almost surely, 2^541978496 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 541978496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601749000).

541978496 is an abundant number, since it is smaller than the sum of its proper divisors (661519504).

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

541978496 is a wasteful number, since it uses less digits than its factorization.

541978496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13159 (or 13147 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 53.

The square root of 541978496 is about 23280.4316111192. The cubic root of 541978496 is about 815.3186032747.

The spelling of 541978496 in words is "five hundred forty-one million, nine hundred seventy-eight thousand, four hundred ninety-six".