538145280 has 120 divisors (see below), whose sum is σ = 1863828252. Its totient is φ = 143499264.

The previous prime is 538145261. The next prime is 538145287. The reversal of 538145280 is 82541835.

It is a happy number.

538145280 is a `hidden beast` number, since 53 + 81 + 4 + 528 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 533055744 + 5089536 = 23088^2 + 2256^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 (538145287) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11362 + ... + 34718.

Almost surely, 2^538145280 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 538145280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931914126).

538145280 is an abundant number, since it is smaller than the sum of its proper divisors (1325682972).

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

538145280 is a wasteful number, since it uses less digits than its factorization.

538145280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23386 (or 23367 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 538145280 is about 23197.9585308708. The cubic root of 538145280 is about 813.3919035727.

The spelling of 538145280 in words is "five hundred thirty-eight million, one hundred forty-five thousand, two hundred eighty".