424664640 has 224 divisors, whose sum is σ = 1563989760. Its totient is φ = 108269568.

The previous prime is 424664627. The next prime is 424664659. The reversal of 424664640 is 46466424.

It is a happy number.

424664640 is a `hidden beast` number, since 4 + 2 + 4 + 6 + 6 + 4 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 424664595 and 424664604.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197652 + ... + 199788.

Almost surely, 2^424664640 is an apocalyptic number.

424664640 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 424664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781994880).

424664640 is an abundant number, since it is smaller than the sum of its proper divisors (1139325120).

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

424664640 is a wasteful number, since it uses less digits than its factorization.

424664640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2186 (or 2170 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 424664640 is about 20607.3928481989. The cubic root of 424664640 is about 751.6494895859.

It can be divided in two parts, 4246 and 64640, that added together give a palindrome (68886).

The spelling of 424664640 in words is "four hundred twenty-four million, six hundred sixty-four thousand, six hundred forty".