488364072 has 128 divisors (see below), whose sum is σ = 1450521600. Its totient is φ = 134120448.

The previous prime is 488364061. The next prime is 488364077. The reversal of 488364072 is 270463884.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (488364077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 483504 + ... + 484512.

It is an arithmetic number, because the mean of its divisors is an integer number (11332200).

Almost surely, 2^488364072 is an apocalyptic number.

488364072 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 488364072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725260800).

488364072 is an abundant number, since it is smaller than the sum of its proper divisors (962157528).

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

488364072 is a wasteful number, since it uses less digits than its factorization.

488364072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 488364072 is about 22098.9608805482. The cubic root of 488364072 is about 787.4951759846.

The spelling of 488364072 in words is "four hundred eighty-eight million, three hundred sixty-four thousand, seventy-two".