538601472 has 72 divisors (see below), whose sum is σ = 1555633170. Its totient is φ = 179527680.

The previous prime is 538601449. The next prime is 538601477. The reversal of 538601472 is 274106835.

538601472 is a `hidden beast` number, since 5 + 3 + 8 + 601 + 47 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 535274496 + 3326976 = 23136^2 + 1824^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (538601477) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 3822 + ... + 33042.

Almost surely, 2^538601472 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 538601472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777816585).

538601472 is an abundant number, since it is smaller than the sum of its proper divisors (1017031698).

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

538601472 is a wasteful number, since it uses less digits than its factorization.

538601472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29249 (or 29226 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 538601472 is about 23207.7890373038. The cubic root of 538601472 is about 813.6216792430.

The spelling of 538601472 in words is "five hundred thirty-eight million, six hundred one thousand, four hundred seventy-two".