408461346 has 128 divisors (see below), whose sum is σ = 1013472000. Its totient is φ = 121347072.

The previous prime is 408461341. The next prime is 408461359. The reversal of 408461346 is 643164804.

It is a super-2 number, since 2×408461346² = 333681342352263432, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 408461346.

It is not an unprimeable number, because it can be changed into a prime (408461341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1783560 + ... + 1783788.

It is an arithmetic number, because the mean of its divisors is an integer number (7917750).

Almost surely, 2^408461346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408461346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506736000).

408461346 is an abundant number, since it is smaller than the sum of its proper divisors (605010654).

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

408461346 is a wasteful number, since it uses less digits than its factorization.

408461346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 408461346 is about 20210.4266654616. The cubic root of 408461346 is about 741.9654023483.

The spelling of 408461346 in words is "four hundred eight million, four hundred sixty-one thousand, three hundred forty-six".