408451968 has 96 divisors (see below), whose sum is σ = 1237290600. Its totient is φ = 128977920.

The previous prime is 408451961. The next prime is 408451997. The reversal of 408451968 is 869154804.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408451961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12558 + ... + 31218.

Almost surely, 2^408451968 is an apocalyptic number.

408451968 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 408451968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618645300).

408451968 is an abundant number, since it is smaller than the sum of its proper divisors (828838632).

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

408451968 is a wasteful number, since it uses less digits than its factorization.

408451968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18700 (or 18685 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 408451968 is about 20210.1946551734. The cubic root of 408451968 is about 741.9597239613.

The spelling of 408451968 in words is "four hundred eight million, four hundred fifty-one thousand, nine hundred sixty-eight".