538193376 has 384 divisors, whose sum is σ = 1933424640. Its totient is φ = 142331904.

The previous prime is 538193351. The next prime is 538193417. The reversal of 538193376 is 673391835.

538193376 is a `hidden beast` number, since 538 + 19 + 33 + 76 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7372476 + ... + 7372548.

It is an arithmetic number, because the mean of its divisors is an integer number (5034960).

Almost surely, 2^538193376 is an apocalyptic number.

538193376 is a gapful number since it is divisible by the number (56) 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 538193376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966712320).

538193376 is an abundant number, since it is smaller than the sum of its proper divisors (1395231264).

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

538193376 is a wasteful number, since it uses less digits than its factorization.

538193376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 161 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 538193376 is about 23198.9951506525. The cubic root of 538193376 is about 813.4161347813.

The spelling of 538193376 in words is "five hundred thirty-eight million, one hundred ninety-three thousand, three hundred seventy-six".