409467520 has 192 divisors, whose sum is σ = 1243265760. Its totient is φ = 127518720.

The previous prime is 409467511. The next prime is 409467521. The reversal of 409467520 is 25764904.

It is a self number, because there is not a number n which added to its sum of digits gives 409467520.

It is not an unprimeable number, because it can be changed into a prime (409467521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 344367 + ... + 345553.

Almost surely, 2^409467520 is an apocalyptic number.

409467520 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 409467520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621632880).

409467520 is an abundant number, since it is smaller than the sum of its proper divisors (833798240).

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

409467520 is a wasteful number, since it uses less digits than its factorization.

409467520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 409467520 is about 20235.3038030073. The cubic root of 409467520 is about 742.5741373368.

The spelling of 409467520 in words is "four hundred nine million, four hundred sixty-seven thousand, five hundred twenty".