538398720 has 312 divisors, whose sum is σ = 1962694656. Its totient is φ = 136249344.

The previous prime is 538398719. The next prime is 538398733. The reversal of 538398720 is 27893835.

538398720 is a `hidden beast` number, since 538 + 3 + 98 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 4239297 + ... + 4239423.

It is an arithmetic number, because the mean of its divisors is an integer number (6290688).

Almost surely, 2^538398720 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 538398720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981347328).

538398720 is an abundant number, since it is smaller than the sum of its proper divisors (1424295936).

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

538398720 is a wasteful number, since it uses less digits than its factorization.

538398720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 538398720 is about 23203.4204375131. The cubic root of 538398720 is about 813.5195727472.

The spelling of 538398720 in words is "five hundred thirty-eight million, three hundred ninety-eight thousand, seven hundred twenty".