406342656 has 264 divisors, whose sum is σ = 1287546624. Its totient is φ = 127733760.

The previous prime is 406342649. The next prime is 406342663. The reversal of 406342656 is 656243604.

It is an interprime number because it is at equal distance from previous prime (406342649) and next prime (406342663).

It is a super-2 number, since 2×406342656² = 330228708170268672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 406342656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5723101 + ... + 5723171.

Almost surely, 2^406342656 is an apocalyptic number.

406342656 is a gapful number since it is divisible by the number (46) 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 406342656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643773312).

406342656 is an abundant number, since it is smaller than the sum of its proper divisors (881203968).

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

406342656 is an equidigital number, since it uses as much as digits as its factorization.

406342656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 406342656 is about 20157.9427521759. The cubic root of 406342656 is about 740.6803190854.

The spelling of 406342656 in words is "four hundred six million, three hundred forty-two thousand, six hundred fifty-six".