424132100 has 72 divisors (see below), whose sum is σ = 1056057408. Its totient is φ = 144835200.

The previous prime is 424132069. The next prime is 424132123. The reversal of 424132100 is 1231424.

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, 197030 + ... + 199170.

It is an arithmetic number, because the mean of its divisors is an integer number (14667464).

Almost surely, 2^424132100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528028704).

424132100 is an abundant number, since it is smaller than the sum of its proper divisors (631925308).

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

424132100 is a wasteful number, since it uses less digits than its factorization.

424132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2445 (or 2438 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 424132100 is about 20594.4677037305. The cubic root of 424132100 is about 751.3351624519.

Adding to 424132100 its reverse (1231424), we get a palindrome (425363524).

The spelling of 424132100 in words is "four hundred twenty-four million, one hundred thirty-two thousand, one hundred".