406664928 has 96 divisors (see below), whose sum is σ = 1218258720. Its totient is φ = 131880960.

The previous prime is 406664899. The next prime is 406664957. The reversal of 406664928 is 829466604.

It is an interprime number because it is at equal distance from previous prime (406664899) and next prime (406664957).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25608 + ... + 38328.

It is an arithmetic number, because the mean of its divisors is an integer number (12690195).

Almost surely, 2^406664928 is an apocalyptic number.

406664928 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 406664928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609129360).

406664928 is an abundant number, since it is smaller than the sum of its proper divisors (811593792).

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

406664928 is a wasteful number, since it uses less digits than its factorization.

406664928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12777 (or 12763 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 406664928 is about 20165.9348407159. The cubic root of 406664928 is about 740.8760795249.

The spelling of 406664928 in words is "four hundred six million, six hundred sixty-four thousand, nine hundred twenty-eight".