4719398400 has 360 divisors, whose sum is σ = 17156986704. Its totient is φ = 1238630400.

The previous prime is 4719398363. The next prime is 4719398413. The reversal of 4719398400 is 48939174.

4719398400 is a `hidden beast` number, since 4 + 71 + 93 + 98 + 400 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8178912 + ... + 8179488.

Almost surely, 2^4719398400 is an apocalyptic number.

4719398400 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 4719398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8578493352).

4719398400 is an abundant number, since it is smaller than the sum of its proper divisors (12437588304).

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

4719398400 is a wasteful number, since it uses less digits than its factorization.

4719398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 4719398400 is about 68697.8776964762. The cubic root of 4719398400 is about 1677.3700347145.

The spelling of 4719398400 in words is "four billion, seven hundred nineteen million, three hundred ninety-eight thousand, four hundred".