4887414400 has 192 divisors, whose sum is σ = 13481503200. Its totient is φ = 1735372800.

The previous prime is 4887414379. The next prime is 4887414401. The reversal of 4887414400 is 44147884.

It is a super-3 number, since 3×4887414400³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4887414401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1511986 + ... + 1515214.

Almost surely, 2^4887414400 is an apocalyptic number.

4887414400 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 4887414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6740751600).

4887414400 is an abundant number, since it is smaller than the sum of its proper divisors (8594088800).

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

4887414400 is a wasteful number, since it uses less digits than its factorization.

4887414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3307 (or 3290 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 40.

The square root of 4887414400 is about 69910.0450579171. The cubic root of 4887414400 is about 1697.0438127699.

The spelling of 4887414400 in words is "four billion, eight hundred eighty-seven million, four hundred fourteen thousand, four hundred".