541624704 has 64 divisors (see below), whose sum is σ = 1441223280. Its totient is φ = 180224000.

The previous prime is 541624687. The next prime is 541624729. The reversal of 541624704 is 407426145.

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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 337504 + ... + 339104.

Almost surely, 2^541624704 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 541624704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720611640).

541624704 is an abundant number, since it is smaller than the sum of its proper divisors (899598576).

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

541624704 is a wasteful number, since it uses less digits than its factorization.

541624704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2499 (or 2487 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 541624704 is about 23272.8318861285. The cubic root of 541624704 is about 815.1411571279.

The spelling of 541624704 in words is "five hundred forty-one million, six hundred twenty-four thousand, seven hundred four".