4234550400 has 720 divisors, whose sum is σ = 17096570370. Its totient is φ = 1028505600.

The previous prime is 4234550393. The next prime is 4234550443. The reversal of 4234550400 is 40554324.

4234550400 is a `hidden beast` number, since 42 + 34 + 550 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3631749696 + 602800704 = 60264^2 + 24552^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 136598385 + ... + 136598415.

Almost surely, 2^4234550400 is an apocalyptic number.

4234550400 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 4234550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8548285185).

4234550400 is an abundant number, since it is smaller than the sum of its proper divisors (12862019970).

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

4234550400 is a wasteful number, since it uses less digits than its factorization.

4234550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 4234550400 is about 65073.4231464736. The cubic root of 4234550400 is about 1617.8407446633.

The spelling of 4234550400 in words is "four billion, two hundred thirty-four million, five hundred fifty thousand, four hundred".