406444440 has 64 divisors (see below), whose sum is σ = 1221062400. Its totient is φ = 108231552.

The previous prime is 406444429. The next prime is 406444469. The reversal of 406444440 is 44444604.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 406444398 and 406444407.

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, 101109 + ... + 105051.

It is an arithmetic number, because the mean of its divisors is an integer number (19079100).

Almost surely, 2^406444440 is an apocalyptic number.

406444440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406444440 is an abundant number, since it is smaller than the sum of its proper divisors (814617960).

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

406444440 is a wasteful number, since it uses less digits than its factorization.

406444440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4816 (or 4812 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

The square root of 406444440 is about 20160.4672564899. The cubic root of 406444440 is about 740.7421577911.

The spelling of 406444440 in words is "four hundred six million, four hundred forty-four thousand, four hundred forty".