4268495400 has 384 divisors, whose sum is σ = 14932377600. Its totient is φ = 1001548800.

The previous prime is 4268495393. The next prime is 4268495423. The reversal of 4268495400 is 45948624.

It is a super-3 number, since 3×4268495400³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30708531 + ... + 30708669.

It is an arithmetic number, because the mean of its divisors is an integer number (38886400).

Almost surely, 2^4268495400 is an apocalyptic number.

4268495400 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 4268495400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7466188800).

4268495400 is an abundant number, since it is smaller than the sum of its proper divisors (10663882200).

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

4268495400 is a wasteful number, since it uses less digits than its factorization.

4268495400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 4268495400 is about 65333.7232981559. The cubic root of 4268495400 is about 1622.1522225030.

The spelling of 4268495400 in words is "four billion, two hundred sixty-eight million, four hundred ninety-five thousand, four hundred".