408994800 has 120 divisors (see below), whose sum is σ = 1329962496. Its totient is φ = 107416320.

The previous prime is 408994793. The next prime is 408994829. The reversal of 408994800 is 8499804.

It is a tau number, because it is divible by the number of its divisors (120).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77857 + ... + 82943.

Almost surely, 2^408994800 is an apocalyptic number.

408994800 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 408994800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664981248).

408994800 is an abundant number, since it is smaller than the sum of its proper divisors (920967696).

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

408994800 is a wasteful number, since it uses less digits than its factorization.

408994800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5175 (or 5164 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 408994800 is about 20223.6198540222. The cubic root of 408994800 is about 742.2882662150.

It can be divided in two parts, 4089 and 94800, that added together give a palindrome (98889).

The spelling of 408994800 in words is "four hundred eight million, nine hundred ninety-four thousand, eight hundred".