488294400 has 432 divisors, whose sum is σ = 1870661520. Its totient is φ = 111411200.

The previous prime is 488294381. The next prime is 488294407. The reversal of 488294400 is 4492884.

It is not an unprimeable number, because it can be changed into a prime (488294407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28723192 + ... + 28723208.

It is an arithmetic number, because the mean of its divisors is an integer number (4330235).

Almost surely, 2^488294400 is an apocalyptic number.

488294400 is a gapful number since it is divisible by the number (40) 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 488294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935330760).

488294400 is an abundant number, since it is smaller than the sum of its proper divisors (1382367120).

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

488294400 is a wasteful number, since it uses less digits than its factorization.

488294400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 488294400 is about 22097.3844606098. The cubic root of 488294400 is about 787.4577251179.

The spelling of 488294400 in words is "four hundred eighty-eight million, two hundred ninety-four thousand, four hundred".