4268548400 has 60 divisors (see below), whose sum is σ = 10399695984. Its totient is φ = 1683360000.

The previous prime is 4268548393. The next prime is 4268548429. The reversal of 4268548400 is 48458624.

It is a super-3 number, since 3×4268548400³ (a number of 30 digits) contains 333 as substring.

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 11 ways as a sum of consecutive naturals, for example, 46751 + ... + 103550.

Almost surely, 2^4268548400 is an apocalyptic number.

4268548400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4268548400 is an abundant number, since it is smaller than the sum of its proper divisors (6131147584).

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

4268548400 is a wasteful number, since it uses less digits than its factorization.

4268548400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150390 (or 150379 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 41.

The square root of 4268548400 is about 65334.1289067207. The cubic root of 4268548400 is about 1622.1589363217.

The spelling of 4268548400 in words is "four billion, two hundred sixty-eight million, five hundred forty-eight thousand, four hundred".