409218480 has 200 divisors, whose sum is σ = 1550753424. Its totient is φ = 99187200.

The previous prime is 409218473. The next prime is 409218497. The reversal of 409218480 is 84812904.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 68410 + ... + 74150.

Almost surely, 2^409218480 is an apocalyptic number.

409218480 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 409218480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775376712).

409218480 is an abundant number, since it is smaller than the sum of its proper divisors (1141534944).

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

409218480 is a wasteful number, since it uses less digits than its factorization.

409218480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5777 (or 5762 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 409218480 is about 20229.1492653547. The cubic root of 409218480 is about 742.4235611546.

The spelling of 409218480 in words is "four hundred nine million, two hundred eighteen thousand, four hundred eighty".