538400520 has 384 divisors, whose sum is σ = 2135427840. Its totient is φ = 119439360.

The previous prime is 538400519. The next prime is 538400531. The reversal of 538400520 is 25004835.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2789544 + ... + 2789736.

It is an arithmetic number, because the mean of its divisors is an integer number (5561010).

Almost surely, 2^538400520 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 538400520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067713920).

538400520 is an abundant number, since it is smaller than the sum of its proper divisors (1597027320).

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

538400520 is a wasteful number, since it uses less digits than its factorization.

538400520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 538400520 is about 23203.4592248656. The cubic root of 538400520 is about 813.5204793452.

The spelling of 538400520 in words is "five hundred thirty-eight million, four hundred thousand, five hundred twenty".