406672770 has 128 divisors (see below), whose sum is σ = 1181952000. Its totient is φ = 87478272.

The previous prime is 406672757. The next prime is 406672823. The reversal of 406672770 is 77276604.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 905506 + ... + 905954.

It is an arithmetic number, because the mean of its divisors is an integer number (9234000).

Almost surely, 2^406672770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406672770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590976000).

406672770 is an abundant number, since it is smaller than the sum of its proper divisors (775279230).

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

406672770 is a wasteful number, since it uses less digits than its factorization.

406672770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712.

The product of its (nonzero) digits is 98784, while the sum is 39.

The square root of 406672770 is about 20166.1292765865. The cubic root of 406672770 is about 740.8808417690.

The spelling of 406672770 in words is "four hundred six million, six hundred seventy-two thousand, seven hundred seventy".