488248152 has 160 divisors (see below), whose sum is σ = 1468844400. Its totient is φ = 135136512.

The previous prime is 488248151. The next prime is 488248153. The reversal of 488248152 is 251842884.

It is an interprime number because it is at equal distance from previous prime (488248151) and next prime (488248153).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488248151) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 2131974 + ... + 2132202.

Almost surely, 2^488248152 is an apocalyptic number.

488248152 is a gapful number since it is divisible by the number (42) 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 488248152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734422200).

488248152 is an abundant number, since it is smaller than the sum of its proper divisors (980596248).

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

488248152 is a wasteful number, since it uses less digits than its factorization.

488248152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 278 counting only the distinct ones).

The product of its digits is 163840, while the sum is 42.

The square root of 488248152 is about 22096.3379771400. The cubic root of 488248152 is about 787.4328634124.

The spelling of 488248152 in words is "four hundred eighty-eight million, two hundred forty-eight thousand, one hundred fifty-two".