408306960 has 160 divisors (see below), whose sum is σ = 1480560000. Its totient is φ = 103140864.

The previous prime is 408306949. The next prime is 408306961. The reversal of 408306960 is 69603804.

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

It is not an unprimeable number, because it can be changed into a prime (408306961) 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, 36066 + ... + 46014.

It is an arithmetic number, because the mean of its divisors is an integer number (9253500).

Almost surely, 2^408306960 is an apocalyptic number.

408306960 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 408306960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740280000).

408306960 is an abundant number, since it is smaller than the sum of its proper divisors (1072253040).

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

408306960 is a wasteful number, since it uses less digits than its factorization.

408306960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9990 (or 9978 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 408306960 is about 20206.6068403381. The cubic root of 408306960 is about 741.8719104290.

The spelling of 408306960 in words is "four hundred eight million, three hundred six thousand, nine hundred sixty".