424197648 has 400 divisors, whose sum is σ = 1555614720. Its totient is φ = 108801792.

The previous prime is 424197647. The next prime is 424197649. The reversal of 424197648 is 846791424.

It is an interprime number because it is at equal distance from previous prime (424197647) and next prime (424197649).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (424197643) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3964411 + ... + 3964517.

Almost surely, 2^424197648 is an apocalyptic number.

424197648 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 424197648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777807360).

424197648 is an abundant number, since it is smaller than the sum of its proper divisors (1131417072).

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

424197648 is a wasteful number, since it uses less digits than its factorization.

424197648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 161 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 424197648 is about 20596.0590405058. The cubic root of 424197648 is about 751.3738657870.

The spelling of 424197648 in words is "four hundred twenty-four million, one hundred ninety-seven thousand, six hundred forty-eight".