408332496 has 320 divisors, whose sum is σ = 1359912960. Its totient is φ = 103680000.

The previous prime is 408332471. The next prime is 408332549. The reversal of 408332496 is 694233804.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4042846 + ... + 4042946.

It is an arithmetic number, because the mean of its divisors is an integer number (4249728).

Almost surely, 2^408332496 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 408332496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679956480).

408332496 is an abundant number, since it is smaller than the sum of its proper divisors (951580464).

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

408332496 is a wasteful number, since it uses less digits than its factorization.

408332496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 408332496 is about 20207.2387029995. The cubic root of 408332496 is about 741.8873759554.

The spelling of 408332496 in words is "four hundred eight million, three hundred thirty-two thousand, four hundred ninety-six".