424258560 has 528 divisors, whose sum is σ = 1716728832. Its totient is φ = 99532800.

The previous prime is 424258537. The next prime is 424258561. The reversal of 424258560 is 65852424.

It is a happy number.

424258560 is a `hidden beast` number, since 4 + 2 + 42 + 58 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424258561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13685745 + ... + 13685775.

Almost surely, 2^424258560 is an apocalyptic number.

424258560 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 424258560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858364416).

424258560 is an abundant number, since it is smaller than the sum of its proper divisors (1292470272).

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

424258560 is a wasteful number, since it uses less digits than its factorization.

424258560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 424258560 is about 20597.5377169214. The cubic root of 424258560 is about 751.4098281854.

The spelling of 424258560 in words is "four hundred twenty-four million, two hundred fifty-eight thousand, five hundred sixty".