488229840 has 240 divisors, whose sum is σ = 1900973568. Its totient is φ = 109983744.

The previous prime is 488229811. The next prime is 488229853. The reversal of 488229840 is 48922884.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 367257 + ... + 368583.

Almost surely, 2^488229840 is an apocalyptic number.

488229840 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 488229840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950486784).

488229840 is an abundant number, since it is smaller than the sum of its proper divisors (1412743728).

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

488229840 is a wasteful number, since it uses less digits than its factorization.

488229840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 488229840 is about 22095.9236059505. The cubic root of 488229840 is about 787.4230189301.

The spelling of 488229840 in words is "four hundred eighty-eight million, two hundred twenty-nine thousand, eight hundred forty".