424198800 has 90 divisors (see below), whose sum is σ = 1472100162. Its totient is φ = 113118720.

The previous prime is 424198781. The next prime is 424198919. The reversal of 424198800 is 8891424.

It can be written as a sum of positive squares in 3 ways, for example, as 4112784 + 420086016 = 2028^2 + 20496^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 55317 + ... + 62516.

Almost surely, 2^424198800 is an apocalyptic number.

424198800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424198800 is an abundant number, since it is smaller than the sum of its proper divisors (1047901362).

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

424198800 is a wasteful number, since it uses less digits than its factorization.

424198800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117857 (or 117843 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 424198800 is about 20596.0870070021. The cubic root of 424198800 is about 751.3745459589.

It can be divided in two parts, 4241 and 98800, that added together give a square (103041 = 321²).

The spelling of 424198800 in words is "four hundred twenty-four million, one hundred ninety-eight thousand, eight hundred".