488053512 has 80 divisors (see below), whose sum is σ = 1371014700. Its totient is φ = 162207360.

The previous prime is 488053481. The next prime is 488053549. The reversal of 488053512 is 215350884.

It is a happy number.

488053512 is a `hidden beast` number, since 48 + 80 + 535 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 484616196 + 3437316 = 22014^2 + 1854^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 271914 + ... + 273702.

Almost surely, 2^488053512 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 488053512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685507350).

488053512 is an abundant number, since it is smaller than the sum of its proper divisors (882961188).

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

488053512 is a wasteful number, since it uses less digits than its factorization.

488053512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2228 (or 2215 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 488053512 is about 22091.9331883835. The cubic root of 488053512 is about 787.3282128688.

The spelling of 488053512 in words is "four hundred eighty-eight million, fifty-three thousand, five hundred twelve".