488339280 has 800 divisors, whose sum is σ = 2177860608. Its totient is φ = 99532800.

The previous prime is 488339279. The next prime is 488339281. The reversal of 488339280 is 82933884.

488339280 is a `hidden beast` number, since 488 + 3 + 3 + 92 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (488339279) and next prime (488339281).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488339281) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 15752865 + ... + 15752895.

Almost surely, 2^488339280 is an apocalyptic number.

488339280 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 488339280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088930304).

488339280 is an abundant number, since it is smaller than the sum of its proper divisors (1689521328).

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

488339280 is a wasteful number, since it uses less digits than its factorization.

488339280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 488339280 is about 22098.3999420773. The cubic root of 488339280 is about 787.4818499218.

The spelling of 488339280 in words is "four hundred eighty-eight million, three hundred thirty-nine thousand, two hundred eighty".