488343744 has 168 divisors, whose sum is σ = 1651739648. Its totient is φ = 134991360.

The previous prime is 488343671. The next prime is 488343769. The reversal of 488343744 is 447343884.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×488343744² = 476959224607875072, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 488343744.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123039 + ... + 126945.

Almost surely, 2^488343744 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 488343744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825869824).

488343744 is an abundant number, since it is smaller than the sum of its proper divisors (1163395904).

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

488343744 is a wasteful number, since it uses less digits than its factorization.

488343744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3963 (or 3950 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 45.

The square root of 488343744 is about 22098.5009446342. The cubic root of 488343744 is about 787.4842494204.

The spelling of 488343744 in words is "four hundred eighty-eight million, three hundred forty-three thousand, seven hundred forty-four".