424249056 has 288 divisors, whose sum is σ = 1571996160. Its totient is φ = 110073600.

The previous prime is 424249019. The next prime is 424249061. The reversal of 424249056 is 650942424.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×424249056² = 359974523033782272, which contains 22 as substring.

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 424249056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 465241 + ... + 466151.

It is an arithmetic number, because the mean of its divisors is an integer number (5458320).

Almost surely, 2^424249056 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 424249056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785998080).

424249056 is an abundant number, since it is smaller than the sum of its proper divisors (1147747104).

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

424249056 is a wasteful number, since it uses less digits than its factorization.

424249056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 424249056 is about 20597.3070084417. The cubic root of 424249056 is about 751.4042172577.

The spelling of 424249056 in words is "four hundred twenty-four million, two hundred forty-nine thousand, fifty-six".