424074420 has 576 divisors, whose sum is σ = 1765048320. Its totient is φ = 83462400.

The previous prime is 424074407. The next prime is 424074421. The reversal of 424074420 is 24470424.

It is a super-2 number, since 2×424074420² = 359678227396672800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424074421) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9022837 + ... + 9022883.

It is an arithmetic number, because the mean of its divisors is an integer number (3064320).

Almost surely, 2^424074420 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 424074420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882524160).

424074420 is an abundant number, since it is smaller than the sum of its proper divisors (1340973900).

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

424074420 is a wasteful number, since it uses less digits than its factorization.

424074420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 424074420 is about 20593.0672800338. The cubic root of 424074420 is about 751.3011015411.

The spelling of 424074420 in words is "four hundred twenty-four million, seventy-four thousand, four hundred twenty".