488376 has 128 divisors (see below), whose sum is σ = 1728000. Its totient is φ = 124416.

The previous prime is 488353. The next prime is 488381. The reversal of 488376 is 673884.

It is a super-2 number, since 2×488376² = 477022234752, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (32256) is a multiple of the sum of its prime divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 488376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25695 + ... + 25713.

It is an arithmetic number, because the mean of its divisors is an integer number (13500).

2⁴⁸⁸³⁷⁶ 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 488376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864000).

488376 is an abundant number, since it is smaller than the sum of its proper divisors (1239624).

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

488376 is a wasteful number, since it uses less digits than its factorization.

488376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 48 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 488376 is about 698.8390372611. The cubic root of 488376 is about 78.7501587298.

The spelling of 488376 in words is "four hundred eighty-eight thousand, three hundred seventy-six".