488274480 has 120 divisors (see below), whose sum is σ = 1700589072. Its totient is φ = 130201344.

The previous prime is 488274463. The next prime is 488274481. The reversal of 488274480 is 84472884.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (488274481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6882 + ... + 31998.

Almost surely, 2^488274480 is an apocalyptic number.

488274480 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 488274480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850294536).

488274480 is an abundant number, since it is smaller than the sum of its proper divisors (1212314592).

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

488274480 is a wasteful number, since it uses less digits than its factorization.

488274480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25145 (or 25127 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The square root of 488274480 is about 22096.9337239355. The cubic root of 488274480 is about 787.4470168435.

The spelling of 488274480 in words is "four hundred eighty-eight million, two hundred seventy-four thousand, four hundred eighty".