488193420 has 192 divisors, whose sum is σ = 1700891136. Its totient is φ = 102789120.

The previous prime is 488193401. The next prime is 488193427. The reversal of 488193420 is 24391884.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (488193427) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 144187 + ... + 147533.

It is an arithmetic number, because the mean of its divisors is an integer number (8858808).

Almost surely, 2^488193420 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 488193420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850445568).

488193420 is an abundant number, since it is smaller than the sum of its proper divisors (1212697716).

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

488193420 is a wasteful number, since it uses less digits than its factorization.

488193420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3400 (or 3398 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 488193420 is about 22095.0994566669. The cubic root of 488193420 is about 787.4034389037.

The spelling of 488193420 in words is "four hundred eighty-eight million, one hundred ninety-three thousand, four hundred twenty".