409661040 has 80 divisors (see below), whose sum is σ = 1304300448. Its totient is φ = 106288128.

The previous prime is 409661039. The next prime is 409661041. The reversal of 409661040 is 40166904.

It is an interprime number because it is at equal distance from previous prime (409661039) and next prime (409661041).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 409660989 and 409661007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409661041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14187 + ... + 31946.

Almost surely, 2^409661040 is an apocalyptic number.

409661040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

409661040 is an abundant number, since it is smaller than the sum of its proper divisors (894639408).

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

409661040 is a wasteful number, since it uses less digits than its factorization.

409661040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46186 (or 46180 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 409661040 is about 20240.0849800588. The cubic root of 409661040 is about 742.6911025069.

The spelling of 409661040 in words is "four hundred nine million, six hundred sixty-one thousand, forty".