4249346400 has 576 divisors, whose sum is σ = 17039534400. Its totient is φ = 1015234560.

The previous prime is 4249346369. The next prime is 4249346411. The reversal of 4249346400 is 46439424.

4249346400 is a `hidden beast` number, since 4 + 2 + 4 + 9 + 3 + 4 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10389396 + ... + 10389804.

It is an arithmetic number, because the mean of its divisors is an integer number (29582525).

Almost surely, 2^4249346400 is an apocalyptic number.

4249346400 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 4249346400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8519767200).

4249346400 is an abundant number, since it is smaller than the sum of its proper divisors (12790188000).

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

4249346400 is a wasteful number, since it uses less digits than its factorization.

4249346400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 4249346400 is about 65187.0109761139. The cubic root of 4249346400 is about 1619.7228606847.

The spelling of 4249346400 in words is "four billion, two hundred forty-nine million, three hundred forty-six thousand, four hundred".