406769688 has 160 divisors (see below), whose sum is σ = 1241024400. Its totient is φ = 123731712.

The previous prime is 406769687. The next prime is 406769707. The reversal of 406769688 is 886967604.

406769688 is a `hidden beast` number, since 406 + 76 + 96 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406769683) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 917995 + ... + 918437.

Almost surely, 2^406769688 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 406769688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620512200).

406769688 is an abundant number, since it is smaller than the sum of its proper divisors (834254712).

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

406769688 is a wasteful number, since it uses less digits than its factorization.

406769688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 406769688 is about 20168.5321230872. The cubic root of 406769688 is about 740.9396925136.

The spelling of 406769688 in words is "four hundred six million, seven hundred sixty-nine thousand, six hundred eighty-eight".