409609632 has 96 divisors (see below), whose sum is σ = 1104304320. Its totient is φ = 132894720.

The previous prime is 409609631. The next prime is 409609633. The reversal of 409609632 is 236906904.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (409609631) and next prime (409609633).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (409609631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 661419 + ... + 662037.

It is an arithmetic number, because the mean of its divisors is an integer number (11503170).

Almost surely, 2^409609632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409609632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552152160).

409609632 is an abundant number, since it is smaller than the sum of its proper divisors (694694688).

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

409609632 is a wasteful number, since it uses less digits than its factorization.

409609632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 409609632 is about 20238.8149850726. The cubic root of 409609632 is about 742.6600346584.

The spelling of 409609632 in words is "four hundred nine million, six hundred nine thousand, six hundred thirty-two".