4053609600 has 384 divisors, whose sum is σ = 14096954880. Its totient is φ = 1022361600.

The previous prime is 4053609551. The next prime is 4053609641. The reversal of 4053609600 is 69063504.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

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, 15772672 + ... + 15772928.

It is an arithmetic number, because the mean of its divisors is an integer number (36710820).

Almost surely, 2^4053609600 is an apocalyptic number.

4053609600 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 4053609600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7048477440).

4053609600 is an abundant number, since it is smaller than the sum of its proper divisors (10043345280).

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

4053609600 is a wasteful number, since it uses less digits than its factorization.

4053609600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 4053609600 is about 63667.9636866140. The cubic root of 4053609600 is about 1594.4612653022.

The spelling of 4053609600 in words is "four billion, fifty-three million, six hundred nine thousand, six hundred".