488374272 has 190 divisors, whose sum is σ = 1522529448. Its totient is φ = 155713536.

The previous prime is 488374267. The next prime is 488374301. The reversal of 488374272 is 272473884.

488374272 is a `hidden beast` number, since 4 + 8 + 8 + 374 + 272 = 666.

Its product of digits (602112) is a multiple of the sum of its prime divisors (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 21233653 + ... + 21233675.

Almost surely, 2^488374272 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 488374272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761264724).

488374272 is an abundant number, since it is smaller than the sum of its proper divisors (1034155176).

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

488374272 is an frugal number, since it uses more digits than its factorization.

488374272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 28 counting only the distinct ones).

The product of its digits is 602112, while the sum is 45.

The square root of 488374272 is about 22099.1916594250. The cubic root of 488374272 is about 787.5006585029.

The spelling of 488374272 in words is "four hundred eighty-eight million, three hundred seventy-four thousand, two hundred seventy-two".