408397950 has 72 divisors (see below), whose sum is σ = 1137901128. Its totient is φ = 108902880.

The previous prime is 408397903. The next prime is 408397991. The reversal of 408397950 is 59793804.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 408397896 and 408397905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4657 + ... + 28956.

Almost surely, 2^408397950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408397950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568950564).

408397950 is an abundant number, since it is smaller than the sum of its proper divisors (729503178).

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

408397950 is a wasteful number, since it uses less digits than its factorization.

408397950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33640 (or 33623 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 408397950 is about 20208.8582062421. The cubic root of 408397950 is about 741.9270143239.

The spelling of 408397950 in words is "four hundred eight million, three hundred ninety-seven thousand, nine hundred fifty".