424234000 has 40 divisors (see below), whose sum is σ = 1025802648. Its totient is φ = 169692800.

The previous prime is 424233989. The next prime is 424234003. The reversal of 424234000 is 432424.

It can be written as a sum of positive squares in 4 ways, for example, as 94012416 + 330221584 = 9696^2 + 18172^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×424234000³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (424234003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104059 + ... + 108058.

Almost surely, 2^424234000 is an apocalyptic number.

424234000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424234000 is an abundant number, since it is smaller than the sum of its proper divisors (601568648).

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

424234000 is a wasteful number, since it uses less digits than its factorization.

424234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212140 (or 212124 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 424234000 is about 20596.9415205268. The cubic root of 424234000 is about 751.3953283943.

Adding to 424234000 its reverse (432424), we get a palindrome (424666424).

The spelling of 424234000 in words is "four hundred twenty-four million, two hundred thirty-four thousand".