488427408 has 200 divisors, whose sum is σ = 1711176192. Its totient is φ = 131300352.

The previous prime is 488427371. The next prime is 488427409. The reversal of 488427408 is 804724884.

It is a happy number.

It is a super-2 number, since 2×488427408² = 477122665771196928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (488427409) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 152641 + ... + 155807.

Almost surely, 2^488427408 is an apocalyptic number.

488427408 is a gapful number since it is divisible by the number (48) 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 488427408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855588096).

488427408 is an abundant number, since it is smaller than the sum of its proper divisors (1222748784).

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

488427408 is a wasteful number, since it uses less digits than its factorization.

488427408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3211 (or 3196 counting only the distinct ones).

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

The square root of 488427408 is about 22100.3938426445. The cubic root of 488427408 is about 787.5292179636.

The spelling of 488427408 in words is "four hundred eighty-eight million, four hundred twenty-seven thousand, four hundred eight".