424111680 has 224 divisors, whose sum is σ = 1509857280. Its totient is φ = 112066560.

The previous prime is 424111679. The next prime is 424111687. The reversal of 424111680 is 86111424.

It is a happy number.

It is a super-2 number, since 2×424111680² = 359741434224844800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (424111687) 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 31 ways as a sum of consecutive naturals, for example, 1650112 + ... + 1650368.

Almost surely, 2^424111680 is an apocalyptic number.

424111680 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 424111680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754928640).

424111680 is an abundant number, since it is smaller than the sum of its proper divisors (1085745600).

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

424111680 is a wasteful number, since it uses less digits than its factorization.

424111680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 424111680 is about 20593.9719335538. The cubic root of 424111680 is about 751.3231044868.

The spelling of 424111680 in words is "four hundred twenty-four million, one hundred eleven thousand, six hundred eighty".