424135296 has 192 divisors, whose sum is σ = 1330667520. Its totient is φ = 128894976.

The previous prime is 424135289. The next prime is 424135301. The reversal of 424135296 is 692531424.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 424135296.

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, 1901841 + ... + 1902063.

It is an arithmetic number, because the mean of its divisors is an integer number (6930560).

Almost surely, 2^424135296 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 424135296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665333760).

424135296 is an abundant number, since it is smaller than the sum of its proper divisors (906532224).

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

424135296 is a wasteful number, since it uses less digits than its factorization.

424135296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 368 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 424135296 is about 20594.5452972383. The cubic root of 424135296 is about 751.3370496479.

The spelling of 424135296 in words is "four hundred twenty-four million, one hundred thirty-five thousand, two hundred ninety-six".