538946640 has 120 divisors (see below), whose sum is σ = 1854209448. Its totient is φ = 140206080.

The previous prime is 538946591. The next prime is 538946659. The reversal of 538946640 is 46649835.

It can be written as a sum of positive squares in 4 ways, for example, as 2005056 + 536941584 = 1416^2 + 23172^2 .

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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20392 + ... + 38648.

Almost surely, 2^538946640 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 538946640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927104724).

538946640 is an abundant number, since it is smaller than the sum of its proper divisors (1315262808).

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

538946640 is a wasteful number, since it uses less digits than its factorization.

538946640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18317 (or 18308 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 538946640 is about 23215.2243150912. The cubic root of 538946640 is about 813.7954479207.

The spelling of 538946640 in words is "five hundred thirty-eight million, nine hundred forty-six thousand, six hundred forty".