406956704 has 48 divisors (see below), whose sum is σ = 998899776. Its totient is φ = 158553600.

The previous prime is 406956701. The next prime is 406956707. The reversal of 406956704 is 407659604.

It is an interprime number because it is at equal distance from previous prime (406956701) and next prime (406956707).

It is a super-2 number, since 2×406956704² = 331227517861087232, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (406956701) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80117 + ... + 85044.

It is an arithmetic number, because the mean of its divisors is an integer number (20810412).

Almost surely, 2^406956704 is an apocalyptic number.

406956704 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

406956704 is an abundant number, since it is smaller than the sum of its proper divisors (591943072).

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

406956704 is a wasteful number, since it uses less digits than its factorization.

406956704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165189 (or 165181 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 41.

The square root of 406956704 is about 20173.1679217717. The cubic root of 406956704 is about 741.0532263315.

The spelling of 406956704 in words is "four hundred six million, nine hundred fifty-six thousand, seven hundred four".