4888382400 has 672 divisors, whose sum is σ = 19834920960. Its totient is φ = 1175731200.

The previous prime is 4888382393. The next prime is 4888382449. The reversal of 4888382400 is 42838884.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38491137 + ... + 38491263.

Almost surely, 2^4888382400 is an apocalyptic number.

4888382400 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 4888382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9917460480).

4888382400 is an abundant number, since it is smaller than the sum of its proper divisors (14946538560).

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

4888382400 is a wasteful number, since it uses less digits than its factorization.

4888382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The square root of 4888382400 is about 69916.9678976427. The cubic root of 4888382400 is about 1697.1558440565.

The spelling of 4888382400 in words is "four billion, eight hundred eighty-eight million, three hundred eighty-two thousand, four hundred".