424134000 has 120 divisors (see below), whose sum is σ = 1481421552. Its totient is φ = 113097600.

The previous prime is 424133999. The next prime is 424134001. The reversal of 424134000 is 431424.

It is an interprime number because it is at equal distance from previous prime (424133999) and next prime (424134001).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424134001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6219 + ... + 29781.

Almost surely, 2^424134000 is an apocalyptic number.

424134000 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 424134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740710776).

424134000 is an abundant number, since it is smaller than the sum of its proper divisors (1057287552).

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

424134000 is a wasteful number, since it uses less digits than its factorization.

424134000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23592 (or 23573 counting only the distinct ones).

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

The square root of 424134000 is about 20594.5138325720. The cubic root of 424134000 is about 751.3362843781.

Adding to 424134000 its reverse (431424), we get a palindrome (424565424).

The spelling of 424134000 in words is "four hundred twenty-four million, one hundred thirty-four thousand".