4268595408 has 360 divisors, whose sum is σ = 14416514784. Its totient is φ = 1083962880.

The previous prime is 4268595377. The next prime is 4268595439. The reversal of 4268595408 is 8045958624.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4268595377) and next prime (4268595439).

It is a super-3 number, since 3×4268595408³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15083235 + ... + 15083517.

Almost surely, 2^4268595408 is an apocalyptic number.

4268595408 is a gapful number since it is divisible by the number (48) 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 4268595408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7208257392).

4268595408 is an abundant number, since it is smaller than the sum of its proper divisors (10147919376).

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

4268595408 is a wasteful number, since it uses less digits than its factorization.

4268595408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 51.

The square root of 4268595408 is about 65334.4886564516. The cubic root of 4268595408 is about 1622.1648910523.

The spelling of 4268595408 in words is "four billion, two hundred sixty-eight million, five hundred ninety-five thousand, four hundred eight".