408712980 has 144 divisors (see below), whose sum is σ = 1312645824. Its totient is φ = 94648320.

The previous prime is 408712973. The next prime is 408712981. The reversal of 408712980 is 89217804.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408712981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171195 + ... + 173565.

It is an arithmetic number, because the mean of its divisors is an integer number (9115596).

Almost surely, 2^408712980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408712980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656322912).

408712980 is an abundant number, since it is smaller than the sum of its proper divisors (903932844).

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

408712980 is a wasteful number, since it uses less digits than its factorization.

408712980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2426 (or 2411 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 408712980 is about 20216.6510579769. The cubic root of 408712980 is about 742.1177345067.

The spelling of 408712980 in words is "four hundred eight million, seven hundred twelve thousand, nine hundred eighty".