4200093408 has 72 divisors (see below), whose sum is σ = 12825299592. Its totient is φ = 1200025344.

The previous prime is 4200093407. The next prime is 4200093409. The reversal of 4200093408 is 8043900024.

It is a happy number.

4200093408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4200093407) and next prime (4200093409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4200093407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 441735 + ... + 451142.

It is an arithmetic number, because the mean of its divisors is an integer number (178129161).

Almost surely, 2^4200093408 is an apocalyptic number.

4200093408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4200093408 is an abundant number, since it is smaller than the sum of its proper divisors (8625206184).

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

4200093408 is a wasteful number, since it uses less digits than its factorization.

4200093408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892904 (or 892889 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 4200093408 is about 64808.1276384374. The cubic root of 4200093408 is about 1613.4406068202.

The spelling of 4200093408 in words is "four billion, two hundred million, ninety-three thousand, four hundred eight".