409579632 has 240 divisors, whose sum is σ = 1492761600. Its totient is φ = 106323840.

The previous prime is 409579613. The next prime is 409579663. The reversal of 409579632 is 236975904.

It is a happy number.

409579632 is a `hidden beast` number, since 4 + 0 + 9 + 5 + 7 + 9 + 632 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231969 + ... + 233727.

It is an arithmetic number, because the mean of its divisors is an integer number (6219840).

Almost surely, 2^409579632 is an apocalyptic number.

409579632 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409579632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746380800).

409579632 is an abundant number, since it is smaller than the sum of its proper divisors (1083181968).

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

409579632 is a wasteful number, since it uses less digits than its factorization.

409579632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1801 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 409579632 is about 20238.0738213892. The cubic root of 409579632 is about 742.6419032936.

The spelling of 409579632 in words is "four hundred nine million, five hundred seventy-nine thousand, six hundred thirty-two".