4613798400 has 240 divisors, whose sum is σ = 15535818144. Its totient is φ = 1206599680.

The previous prime is 4613798383. The next prime is 4613798401. The reversal of 4613798400 is 48973164.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (4613798401) 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, 2034067 + ... + 2036333.

Almost surely, 2^4613798400 is an apocalyptic number.

4613798400 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 4613798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7767909072).

4613798400 is an abundant number, since it is smaller than the sum of its proper divisors (10922019744).

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

4613798400 is a wasteful number, since it uses less digits than its factorization.

4613798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2351 (or 2330 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 4613798400 is about 67924.9468163207. The cubic root of 4613798400 is about 1664.7647495635.

The spelling of 4613798400 in words is "four billion, six hundred thirteen million, seven hundred ninety-eight thousand, four hundred".