405700608 has 64 divisors (see below), whose sum is σ = 1082113920. Its totient is φ = 135200768.

The previous prime is 405700567. The next prime is 405700613. The reversal of 405700608 is 806007504.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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 3 ways as a sum of consecutive naturals, for example, 96241 + ... + 100367.

It is an arithmetic number, because the mean of its divisors is an integer number (16908030).

Almost surely, 2^405700608 is an apocalyptic number.

405700608 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 405700608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541056960).

405700608 is an abundant number, since it is smaller than the sum of its proper divisors (676413312).

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

405700608 is an frugal number, since it uses more digits than its factorization.

405700608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4160 (or 4132 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 405700608 is about 20142.0110217426. The cubic root of 405700608 is about 740.2900056406.

The spelling of 405700608 in words is "four hundred five million, seven hundred thousand, six hundred eight".