406477140 has 192 divisors, whose sum is σ = 1256726016. Its totient is φ = 97763328.

The previous prime is 406477133. The next prime is 406477147. The reversal of 406477140 is 41774604.

It is an interprime number because it is at equal distance from previous prime (406477133) and next prime (406477147).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406477147) by changing a digit.

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, 3946329 + ... + 3946431.

It is an arithmetic number, because the mean of its divisors is an integer number (6545448).

Almost surely, 2^406477140 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 406477140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628363008).

406477140 is an abundant number, since it is smaller than the sum of its proper divisors (850248876).

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

406477140 is a wasteful number, since it uses less digits than its factorization.

406477140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 406477140 is about 20161.2782332867. The cubic root of 406477140 is about 740.7620224324.

The spelling of 406477140 in words is "four hundred six million, four hundred seventy-seven thousand, one hundred forty".