488134080 has 336 divisors, whose sum is σ = 2004913440. Its totient is φ = 111476736.

The previous prime is 488134079. The next prime is 488134103. The reversal of 488134080 is 80431884.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 422784 + ... + 423936.

Almost surely, 2^488134080 is an apocalyptic number.

488134080 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 488134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002456720).

488134080 is an abundant number, since it is smaller than the sum of its proper divisors (1516779360).

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

488134080 is a wasteful number, since it uses less digits than its factorization.

488134080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 488134080 is about 22093.7565841574. The cubic root of 488134080 is about 787.3715346000.

The spelling of 488134080 in words is "four hundred eighty-eight million, one hundred thirty-four thousand, eighty".