488678400 has 528 divisors, whose sum is σ = 2071236480. Its totient is φ = 110592000.

The previous prime is 488678363. The next prime is 488678417. The reversal of 488678400 is 4876884.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4838350 + ... + 4838450.

Almost surely, 2^488678400 is an apocalyptic number.

488678400 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 488678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035618240).

488678400 is an abundant number, since it is smaller than the sum of its proper divisors (1582558080).

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

488678400 is a wasteful number, since it uses less digits than its factorization.

488678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 488678400 is about 22106.0715641654. The cubic root of 488678400 is about 787.6640927894.

The spelling of 488678400 in words is "four hundred eighty-eight million, six hundred seventy-eight thousand, four hundred".