408496320 has 336 divisors, whose sum is σ = 1495409760. Its totient is φ = 102187008.

The previous prime is 408496313. The next prime is 408496327. The reversal of 408496320 is 23694804.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (408496313) and next prime (408496327).

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 (408496327) 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, 5595804 + ... + 5595876.

Almost surely, 2^408496320 is an apocalyptic number.

408496320 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 408496320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747704880).

408496320 is an abundant number, since it is smaller than the sum of its proper divisors (1086913440).

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

408496320 is a wasteful number, since it uses less digits than its factorization.

408496320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 408496320 is about 20211.2918933946. The cubic root of 408496320 is about 741.9865783687.

The spelling of 408496320 in words is "four hundred eight million, four hundred ninety-six thousand, three hundred twenty".