409249520 has 20 divisors (see below), whose sum is σ = 951505320. Its totient is φ = 163699776.

The previous prime is 409249487. The next prime is 409249541. The reversal of 409249520 is 25942904.

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

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2557730 + ... + 2557889.

It is an arithmetic number, because the mean of its divisors is an integer number (47575266).

Almost surely, 2^409249520 is an apocalyptic number.

409249520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

409249520 is an abundant number, since it is smaller than the sum of its proper divisors (542255800).

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

409249520 is a wasteful number, since it uses less digits than its factorization.

409249520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5115632 (or 5115626 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 409249520 is about 20229.9164605294. The cubic root of 409249520 is about 742.4423320931.

The spelling of 409249520 in words is "four hundred nine million, two hundred forty-nine thousand, five hundred twenty".