406688440 has 16 divisors (see below), whose sum is σ = 915049080. Its totient is φ = 162675360.

The previous prime is 406688419. The next prime is 406688449. The reversal of 406688440 is 44886604.

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 10167211 = 406688440 / (4 + 0 + 6 + 6 + 8 + 8 + 4 + 4 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 406688393 and 406688402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406688449) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5083566 + ... + 5083645.

Almost surely, 2^406688440 is an apocalyptic number.

406688440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406688440 is an abundant number, since it is smaller than the sum of its proper divisors (508360640).

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

406688440 is a wasteful number, since it uses less digits than its factorization.

406688440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10167222 (or 10167218 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The square root of 406688440 is about 20166.5177955938. The cubic root of 406688440 is about 740.8903575718.

The spelling of 406688440 in words is "four hundred six million, six hundred eighty-eight thousand, four hundred forty".