424132000 has 48 divisors (see below), whose sum is σ = 1042102152. Its totient is φ = 169651200.

The previous prime is 424131977. The next prime is 424132039. The reversal of 424132000 is 231424.

It can be written as a sum of positive squares in 4 ways, for example, as 45751696 + 378380304 = 6764^2 + 19452^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49017 + ... + 57016.

Almost surely, 2^424132000 is an apocalyptic number.

424132000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424132000 is an abundant number, since it is smaller than the sum of its proper divisors (617970152).

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

424132000 is a wasteful number, since it uses less digits than its factorization.

424132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106058 (or 106040 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 424132000 is about 20594.4652758939. The cubic root of 424132000 is about 751.3351034031.

Adding to 424132000 its reverse (231424), we get a palindrome (424363424).

The spelling of 424132000 in words is "four hundred twenty-four million, one hundred thirty-two thousand".