4350412800 has 360 divisors, whose sum is σ = 16128362250. Its totient is φ = 1159004160.

The previous prime is 4350412799. The next prime is 4350412811. The reversal of 4350412800 is 82140534.

It can be written as a sum of positive squares in 3 ways, for example, as 3978077184 + 372335616 = 63072^2 + 19296^2 .

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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4146676 + ... + 4147724.

Almost surely, 2^4350412800 is an apocalyptic number.

4350412800 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 4350412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8064181125).

4350412800 is an abundant number, since it is smaller than the sum of its proper divisors (11777949450).

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

4350412800 is a wasteful number, since it uses less digits than its factorization.

4350412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4350412800 is about 65957.6591458490. The cubic root of 4350412800 is about 1632.4635361497.

The spelling of 4350412800 in words is "four billion, three hundred fifty million, four hundred twelve thousand, eight hundred".