538464 has 48 divisors (see below), whose sum is σ = 1451520. Its totient is φ = 174720.

The previous prime is 538457. The next prime is 538471. The reversal of 538464 is 464835.

It is an interprime number because it is at equal distance from previous prime (538457) and next prime (538471).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6777 + ... + 6855.

It is an arithmetic number, because the mean of its divisors is an integer number (30240).

2⁵³⁸⁴⁶⁴ 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 538464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725760).

538464 is an abundant number, since it is smaller than the sum of its proper divisors (913056).

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

538464 is a wasteful number, since it uses less digits than its factorization.

538464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 155 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 538464 is about 733.8010629592. The cubic root of 538464 is about 81.3552450742.

The spelling of 538464 in words is "five hundred thirty-eight thousand, four hundred sixty-four".