488164320 has 240 divisors, whose sum is σ = 1969295328. Its totient is φ = 111559680.

The previous prime is 488164297. The next prime is 488164349. The reversal of 488164320 is 23461884.

488164320 is a `hidden beast` number, since 4 + 8 + 8 + 1 + 643 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 88030 + ... + 93410.

Almost surely, 2^488164320 is an apocalyptic number.

488164320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488164320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984647664).

488164320 is an abundant number, since it is smaller than the sum of its proper divisors (1481131008).

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

488164320 is a wasteful number, since it uses less digits than its factorization.

488164320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5415 (or 5398 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 488164320 is about 22094.4409297905. The cubic root of 488164320 is about 787.3877935369.

The spelling of 488164320 in words is "four hundred eighty-eight million, one hundred sixty-four thousand, three hundred twenty".