406127440 has 20 divisors (see below), whose sum is σ = 944246484. Its totient is φ = 162450944.

The previous prime is 406127419. The next prime is 406127453. The reversal of 406127440 is 44721604.

It can be written as a sum of positive squares in 2 ways, for example, as 149230656 + 256896784 = 12216^2 + 16028^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 406127399 and 406127408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2538217 + ... + 2538376.

Almost surely, 2^406127440 is an apocalyptic number.

406127440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406127440 is an abundant number, since it is smaller than the sum of its proper divisors (538119044).

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

406127440 is a wasteful number, since it uses less digits than its factorization.

406127440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5076606 (or 5076600 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 406127440 is about 20152.6038019905. The cubic root of 406127440 is about 740.5495309405.

The spelling of 406127440 in words is "four hundred six million, one hundred twenty-seven thousand, four hundred forty".