488264 has 16 divisors (see below), whose sum is σ = 1046400. Its totient is φ = 209232.

The previous prime is 488263. The next prime is 488287. The reversal of 488264 is 462884.

488264 = T₁₃₁ + T₁₃₂ + ... + T₁₇₂.

It is a self number, because there is not a number n which added to its sum of digits gives 488264.

It is not an unprimeable number, because it can be changed into a prime (488261) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4304 + ... + 4415.

It is an arithmetic number, because the mean of its divisors is an integer number (65400).

2⁴⁸⁸²⁶⁴ is an apocalyptic number.

It is an amenable number.

488264 is an abundant number, since it is smaller than the sum of its proper divisors (558136).

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

488264 is a wasteful number, since it uses less digits than its factorization.

488264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8732 (or 8728 counting only the distinct ones).

The product of its digits is 12288, while the sum is 32.

The square root of 488264 is about 698.7588997644. The cubic root of 488264 is about 78.7441383056.

The spelling of 488264 in words is "four hundred eighty-eight thousand, two hundred sixty-four".