40284409 has 9 divisors (see below), whose sum is σ = 44356431. Its totient is φ = 36558720.

The previous prime is 40284403. The next prime is 40284443. The reversal of 40284409 is 90448204.

40284409 = T₄₆ + T₄₇ + ... + T₆₂₂.

The square root of 40284409 is 6347.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 40005625 + 278784 = 6325^2 + 528^2 .

It is not a de Polignac number, because 40284409 - 2³ = 40284401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40284401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 69529 + ... + 70105.

Almost surely, 2^40284409 is an apocalyptic number.

40284409 is the 6347-th square number.

40284409 is the 3174-th centered octagonal number.

It is an amenable number.

40284409 is a deficient number, since it is larger than the sum of its proper divisors (4072022).

40284409 is an frugal number, since it uses more digits than its factorization.

40284409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The cubic root of 40284409 is about 342.8038300620.

Multiplying 40284409 by its product of nonzero digits (9216), we get a square (371261113344 = 609312²).

The spelling of 40284409 in words is "forty million, two hundred eighty-four thousand, four hundred nine".