424995648 has 448 divisors, whose sum is σ = 1580083200. Its totient is φ = 97320960.

The previous prime is 424995643. The next prime is 424995661. The reversal of 424995648 is 846599424.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 424995648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424995643) 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 63 ways as a sum of consecutive naturals, for example, 4775188 + ... + 4775276.

Almost surely, 2^424995648 is an apocalyptic number.

424995648 is a gapful number since it is divisible by the number (48) 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 424995648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790041600).

424995648 is an abundant number, since it is smaller than the sum of its proper divisors (1155087552).

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

424995648 is a wasteful number, since it uses less digits than its factorization.

424995648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 148 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 51.

The square root of 424995648 is about 20615.4225763141. The cubic root of 424995648 is about 751.8447317883.

The spelling of 424995648 in words is "four hundred twenty-four million, nine hundred ninety-five thousand, six hundred forty-eight".