488450592 has 144 divisors (see below), whose sum is σ = 1609695360. Its totient is φ = 137604096.

The previous prime is 488450591. The next prime is 488450623. The reversal of 488450592 is 295054884.

488450592 is a `hidden beast` number, since 4 + 8 + 8 + 4 + 50 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (488450591) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145509 + ... + 148827.

It is an arithmetic number, because the mean of its divisors is an integer number (11178440).

Almost surely, 2^488450592 is an apocalyptic number.

488450592 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 488450592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804847680).

488450592 is an abundant number, since it is smaller than the sum of its proper divisors (1121244768).

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

488450592 is a wasteful number, since it uses less digits than its factorization.

488450592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3415 (or 3404 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 488450592 is about 22100.9183519599. The cubic root of 488450592 is about 787.5416782174.

The spelling of 488450592 in words is "four hundred eighty-eight million, four hundred fifty thousand, five hundred ninety-two".