488462400 has 210 divisors, whose sum is σ = 1795941290. Its totient is φ = 130222080.

The previous prime is 488462389. The next prime is 488462417. The reversal of 488462400 is 4264884.

It can be written as a sum of positive squares in 3 ways, for example, as 84934656 + 403527744 = 9216^2 + 20088^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 127716 + ... + 131484.

Almost surely, 2^488462400 is an apocalyptic number.

488462400 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 488462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897970645).

488462400 is an abundant number, since it is smaller than the sum of its proper divisors (1307478890).

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

488462400 is a wasteful number, since it uses less digits than its factorization.

488462400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3803 (or 3779 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 488462400 is about 22101.1854885660. The cubic root of 488462400 is about 787.5480242821.

The spelling of 488462400 in words is "four hundred eighty-eight million, four hundred sixty-two thousand, four hundred".