8978409 has 24 divisors (see below), whose sum is σ = 14320800. Its totient is φ = 5375040.

The previous prime is 8978381. The next prime is 8978449. The reversal of 8978409 is 9048798.

It is not a de Polignac number, because 8978409 - 2⁵ = 8978377 is a prime.

It is a super-2 number, since 2×8978409² = 161223656342562, which contains 22 as substring.

It is a d-powerful number, because it can be written as 8⁷ + 9³ + 7³ + 8⁷ + 4³ + 0 + 9⁷ .

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8978449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8302 + ... + 9320.

It is an arithmetic number, because the mean of its divisors is an integer number (596700).

Almost surely, 2^8978409 is an apocalyptic number.

8978409 is a gapful number since it is divisible by the number (89) formed by its first and last digit.

8978409 is the 1602-nd nonagonal number.

It is an amenable number.

8978409 is a deficient number, since it is larger than the sum of its proper divisors (5342391).

8978409 is a wasteful number, since it uses less digits than its factorization.

8978409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 8978409 is about 2996.3993392070. The cubic root of 8978409 is about 207.8419117435.

The spelling of 8978409 in words is "eight million, nine hundred seventy-eight thousand, four hundred nine".