4254034400 has 288 divisors, whose sum is σ = 13202155008. Its totient is φ = 1299916800.

The previous prime is 4254034387. The next prime is 4254034429. The reversal of 4254034400 is 44304524.

It is a super-3 number, since 3×4254034400³ (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4254034400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3264149 + ... + 3265451.

It is an arithmetic number, because the mean of its divisors is an integer number (45840816).

Almost surely, 2^4254034400 is an apocalyptic number.

4254034400 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 4254034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6601077504).

4254034400 is an abundant number, since it is smaller than the sum of its proper divisors (8948120608).

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

4254034400 is a wasteful number, since it uses less digits than its factorization.

4254034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

The square root of 4254034400 is about 65222.9591478338. The cubic root of 4254034400 is about 1620.3182832431.

Adding to 4254034400 its reverse (44304524), we get a palindrome (4298338924).

The spelling of 4254034400 in words is "four billion, two hundred fifty-four million, thirty-four thousand, four hundred".