409728480 has 192 divisors, whose sum is σ = 1484904960. Its totient is φ = 93026304.

The previous prime is 409728479. The next prime is 409728481. The reversal of 409728480 is 84827904.

It is an interprime number because it is at equal distance from previous prime (409728479) and next prime (409728481).

It is a super-2 number, since 2×409728480² = 335754854646220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409728481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 661611 + ... + 662229.

It is an arithmetic number, because the mean of its divisors is an integer number (7733880).

Almost surely, 2^409728480 is an apocalyptic number.

409728480 is a gapful number since it is divisible by the number (40) 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 409728480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742452480).

409728480 is an abundant number, since it is smaller than the sum of its proper divisors (1075176480).

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

409728480 is a wasteful number, since it uses less digits than its factorization.

409728480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 409728480 is about 20241.7509124087. The cubic root of 409728480 is about 742.7318551738.

The spelling of 409728480 in words is "four hundred nine million, seven hundred twenty-eight thousand, four hundred eighty".