405704676 has 96 divisors (see below), whose sum is σ = 1054222848. Its totient is φ = 120637440.

The previous prime is 405704671. The next prime is 405704707. The reversal of 405704676 is 676407504.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (405704671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 876021 + ... + 876483.

It is an arithmetic number, because the mean of its divisors is an integer number (10981488).

Almost surely, 2^405704676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405704676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527111424).

405704676 is an abundant number, since it is smaller than the sum of its proper divisors (648518172).

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

405704676 is a wasteful number, since it uses less digits than its factorization.

405704676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The square root of 405704676 is about 20142.1120044547. The cubic root of 405704676 is about 740.2924799526.

The spelling of 405704676 in words is "four hundred five million, seven hundred four thousand, six hundred seventy-six".