424797120 has 504 divisors, whose sum is σ = 1707477408. Its totient is φ = 96645120.

The previous prime is 424797091. The next prime is 424797137. The reversal of 424797120 is 21797424.

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

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 8015014 + ... + 8015066.

It is an arithmetic number, because the mean of its divisors is an integer number (3387852).

Almost surely, 2^424797120 is an apocalyptic number.

424797120 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 424797120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853738704).

424797120 is an abundant number, since it is smaller than the sum of its proper divisors (1282680288).

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

424797120 is a wasteful number, since it uses less digits than its factorization.

424797120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 424797120 is about 20610.6069779616. The cubic root of 424797120 is about 751.7276439395.

The spelling of 424797120 in words is "four hundred twenty-four million, seven hundred ninety-seven thousand, one hundred twenty".