424560240 has 240 divisors, whose sum is σ = 1560712608. Its totient is φ = 102795264.

The previous prime is 424560239. The next prime is 424560247. The reversal of 424560240 is 42065424.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424560247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 626782 + ... + 627458.

Almost surely, 2^424560240 is an apocalyptic number.

424560240 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 424560240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780356304).

424560240 is an abundant number, since it is smaller than the sum of its proper divisors (1136152368).

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

424560240 is a wasteful number, since it uses less digits than its factorization.

424560240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 424560240 is about 20604.8596209729. The cubic root of 424560240 is about 751.5878891050.

The spelling of 424560240 in words is "four hundred twenty-four million, five hundred sixty thousand, two hundred forty".