424808400 has 60 divisors (see below), whose sum is σ = 1360806752. Its totient is φ = 113281920.

The previous prime is 424808381. The next prime is 424808401. The reversal of 424808400 is 4808424.

It is a tau number, because it is divible by the number of its divisors (60).

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 (424808401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 175804 + ... + 178203.

Almost surely, 2^424808400 is an apocalyptic number.

424808400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424808400 is an abundant number, since it is smaller than the sum of its proper divisors (935998352).

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

424808400 is a wasteful number, since it uses less digits than its factorization.

424808400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354028 (or 354017 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 424808400 is about 20610.8806216522. The cubic root of 424808400 is about 751.7342976355.

The spelling of 424808400 in words is "four hundred twenty-four million, eight hundred eight thousand, four hundred".