409047480 has 96 divisors (see below), whose sum is σ = 1372325760. Its totient is φ = 105557760.

The previous prime is 409047437. The next prime is 409047503. The reversal of 409047480 is 84740904.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7167 + ... + 29486.

It is an arithmetic number, because the mean of its divisors is an integer number (14295060).

Almost surely, 2^409047480 is an apocalyptic number.

409047480 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 409047480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686162880).

409047480 is an abundant number, since it is smaller than the sum of its proper divisors (963278280).

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

409047480 is a wasteful number, since it uses less digits than its factorization.

409047480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36701 (or 36694 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 409047480 is about 20224.9222495415. The cubic root of 409047480 is about 742.3201346455.

It can be divided in two parts, 40904 and 7480, that added together give a palindrome (48384).

The spelling of 409047480 in words is "four hundred nine million, forty-seven thousand, four hundred eighty".