408273600 has 336 divisors, whose sum is σ = 1587398400. Its totient is φ = 89886720.

The previous prime is 408273589. The next prime is 408273601. The reversal of 408273600 is 6372804.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408273601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 974191 + ... + 974609.

It is an arithmetic number, because the mean of its divisors is an integer number (4724400).

Almost surely, 2^408273600 is an apocalyptic number.

408273600 is a gapful number since it is divisible by the number (40) 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 408273600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793699200).

408273600 is an abundant number, since it is smaller than the sum of its proper divisors (1179124800).

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

408273600 is a wasteful number, since it uses less digits than its factorization.

408273600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 408273600 is about 20205.7813508906. The cubic root of 408273600 is about 741.8517054334.

The spelling of 408273600 in words is "four hundred eight million, two hundred seventy-three thousand, six hundred".