488412240 has 80 divisors (see below), whose sum is σ = 1522670400. Its totient is φ = 129504256.

The previous prime is 488412209. The next prime is 488412241. The reversal of 488412240 is 42214884.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488412241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37276 + ... + 48644.

It is an arithmetic number, because the mean of its divisors is an integer number (19033380).

Almost surely, 2^488412240 is an apocalyptic number.

488412240 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 488412240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761335200).

488412240 is an abundant number, since it is smaller than the sum of its proper divisors (1034258160).

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

488412240 is a wasteful number, since it uses less digits than its factorization.

488412240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11564 (or 11558 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 33.

The square root of 488412240 is about 22100.0506786749. The cubic root of 488412240 is about 787.5210657000.

The spelling of 488412240 in words is "four hundred eighty-eight million, four hundred twelve thousand, two hundred forty".