538354944 has 144 divisors (see below), whose sum is σ = 1615904640. Its totient is φ = 176762880.

The previous prime is 538354913. The next prime is 538354961. The reversal of 538354944 is 449453835.

538354944 is a `hidden beast` number, since 538 + 35 + 49 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 538354944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 490204 + ... + 491300.

It is an arithmetic number, because the mean of its divisors is an integer number (11221560).

Almost surely, 2^538354944 is an apocalyptic number.

538354944 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 538354944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807952320).

538354944 is an abundant number, since it is smaller than the sum of its proper divisors (1077549696).

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

538354944 is a wasteful number, since it uses less digits than its factorization.

538354944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1173 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 538354944 is about 23202.4771091364. The cubic root of 538354944 is about 813.4975236618.

The spelling of 538354944 in words is "five hundred thirty-eight million, three hundred fifty-four thousand, nine hundred forty-four".