406858368 has 128 divisors (see below), whose sum is σ = 1260720000. Its totient is φ = 116207616.

The previous prime is 406858321. The next prime is 406858379. The reversal of 406858368 is 863858604.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×406858368² = 331067463223246848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130168 + ... + 133256.

It is an arithmetic number, because the mean of its divisors is an integer number (9849375).

Almost surely, 2^406858368 is an apocalyptic number.

406858368 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 406858368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630360000).

406858368 is an abundant number, since it is smaller than the sum of its proper divisors (853861632).

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

406858368 is an equidigital number, since it uses as much as digits as its factorization.

406858368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3127 (or 3101 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The square root of 406858368 is about 20170.7304776005. The cubic root of 406858368 is about 740.9935327739.

The spelling of 406858368 in words is "four hundred six million, eight hundred fifty-eight thousand, three hundred sixty-eight".