4048455600 has 240 divisors, whose sum is σ = 16468311040. Its totient is φ = 925344000.

The previous prime is 4048455589. The next prime is 4048455617. The reversal of 4048455600 is 65548404.

4048455600 is a `hidden beast` number, since 4 + 0 + 4 + 8 + 45 + 5 + 600 = 666.

4048455600 is digitally balanced in base 2, 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 (240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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, 48825 + ... + 102375.

Almost surely, 2^4048455600 is an apocalyptic number.

4048455600 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 4048455600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8234155520).

4048455600 is an abundant number, since it is smaller than the sum of its proper divisors (12419855440).

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

4048455600 is a wasteful number, since it uses less digits than its factorization.

4048455600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53585 (or 53568 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 4048455600 is about 63627.4751974334. The cubic root of 4048455600 is about 1593.7852144468.

The spelling of 4048455600 in words is "four billion, forty-eight million, four hundred fifty-five thousand, six hundred".