4885401600 has 780 divisors, whose sum is σ = 19663642240. Its totient is φ = 1194393600.

The previous prime is 4885401559. The next prime is 4885401601. The reversal of 4885401600 is 61045884.

4885401600 = 525³ + 526³ + ... + 555³.

4885401600 is a `hidden beast` number, since 4 + 8 + 8 + 5 + 40 + 1 + 600 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4885401601) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 157593585 + ... + 157593615.

Almost surely, 2^4885401600 is an apocalyptic number.

4885401600 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 4885401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9831821120).

4885401600 is an abundant number, since it is smaller than the sum of its proper divisors (14778240640).

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

4885401600 is a wasteful number, since it uses less digits than its factorization.

4885401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 4885401600 is about 69895.6479331868. The cubic root of 4885401600 is about 1696.8108143970.

The spelling of 4885401600 in words is "four billion, eight hundred eighty-five million, four hundred one thousand, six hundred".