408864960 has 336 divisors, whose sum is σ = 1703198016. Its totient is φ = 87883776.

The previous prime is 408864959. The next prime is 408864961. The reversal of 408864960 is 69468804.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (408864959) and next prime (408864961).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (408864961) 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, 342124 + ... + 343316.

Almost surely, 2^408864960 is an apocalyptic number.

408864960 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 408864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851599008).

408864960 is an abundant number, since it is smaller than the sum of its proper divisors (1294333056).

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

408864960 is a wasteful number, since it uses less digits than its factorization.

408864960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 408864960 is about 20220.4094914025. The cubic root of 408864960 is about 742.2097086481.

The spelling of 408864960 in words is "four hundred eight million, eight hundred sixty-four thousand, nine hundred sixty".