488376480 has 192 divisors, whose sum is σ = 1658216448. Its totient is φ = 120468480.

The previous prime is 488376479. The next prime is 488376481. The reversal of 488376480 is 84673884.

It is an interprime number because it is at equal distance from previous prime (488376479) and next prime (488376481).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (488376481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 341527 + ... + 342953.

It is an arithmetic number, because the mean of its divisors is an integer number (8636544).

Almost surely, 2^488376480 is an apocalyptic number.

488376480 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 488376480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829108224).

488376480 is an abundant number, since it is smaller than the sum of its proper divisors (1169839968).

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

488376480 is a wasteful number, since it uses less digits than its factorization.

488376480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1499 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The square root of 488376480 is about 22099.2416159469. The cubic root of 488376480 is about 787.5018452968.

The spelling of 488376480 in words is "four hundred eighty-eight million, three hundred seventy-six thousand, four hundred eighty".