409363968 has 240 divisors, whose sum is σ = 1258044480. Its totient is φ = 117891072.

The previous prime is 409363963. The next prime is 409363979. The reversal of 409363968 is 869363904.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409363963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4932055 + ... + 4932137.

It is an arithmetic number, because the mean of its divisors is an integer number (5241852).

Almost surely, 2^409363968 is an apocalyptic number.

409363968 is a gapful number since it is divisible by the number (48) 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 409363968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629022240).

409363968 is an abundant number, since it is smaller than the sum of its proper divisors (848680512).

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

409363968 is a wasteful number, since it uses less digits than its factorization.

409363968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 48.

The square root of 409363968 is about 20232.7449447671. The cubic root of 409363968 is about 742.5115344715.

The spelling of 409363968 in words is "four hundred nine million, three hundred sixty-three thousand, nine hundred sixty-eight".