406096656 has 80 divisors (see below), whose sum is σ = 1214208000. Its totient is φ = 114551424.

The previous prime is 406096651. The next prime is 406096661. The reversal of 406096656 is 656690604.

It is an interprime number because it is at equal distance from previous prime (406096651) and next prime (406096661).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (406096651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18895 + ... + 34193.

It is an arithmetic number, because the mean of its divisors is an integer number (15177600).

Almost surely, 2^406096656 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 406096656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607104000).

406096656 is an abundant number, since it is smaller than the sum of its proper divisors (808111344).

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

406096656 is a wasteful number, since it uses less digits than its factorization.

406096656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15396 (or 15390 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 406096656 is about 20151.8400152443. The cubic root of 406096656 is about 740.5308195291.

The spelling of 406096656 in words is "four hundred six million, ninety-six thousand, six hundred fifty-six".