424132200 has 168 divisors, whose sum is σ = 1478992950. Its totient is φ = 113063040.

The previous prime is 424132157. The next prime is 424132211. The reversal of 424132200 is 2231424.

It can be written as a sum of positive squares in 3 ways, for example, as 380016036 + 44116164 = 19494^2 + 6642^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 144346 + ... + 147254.

Almost surely, 2^424132200 is an apocalyptic number.

424132200 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 424132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739496475).

424132200 is an abundant number, since it is smaller than the sum of its proper divisors (1054860750).

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

424132200 is a wasteful number, since it uses less digits than its factorization.

424132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2943 (or 2919 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 424132200 is about 20594.4701315669. The cubic root of 424132200 is about 751.3352215008.

Adding to 424132200 its reverse (2231424), we get a palindrome (426363624).

The spelling of 424132200 in words is "four hundred twenty-four million, one hundred thirty-two thousand, two hundred".