4989600 has 360 divisors, whose sum is σ = 22686048. Its totient is φ = 1036800.

The previous prime is 4989599. The next prime is 4989613. The reversal of 4989600 is 69894.

4989600 = 60³ + 61³ + ... + 75³.

4989600 is a `hidden beast` number, since 49 + 8 + 9 + 600 = 666.

4989600 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×4989600² = 49792216320000, which contains 22 as substring.

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 453595 + ... + 453605.

Almost surely, 2^4989600 is an apocalyptic number.

4989600 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 4989600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11343024).

4989600 is an abundant number, since it is smaller than the sum of its proper divisors (17696448).

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

4989600 is a wasteful number, since it uses less digits than its factorization.

4989600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 4989600 is about 2233.7412562784. The cubic root of 4989600 is about 170.8789540398.

The spelling of 4989600 in words is "four million, nine hundred eighty-nine thousand, six hundred".