424744320 has 768 divisors, whose sum is σ = 1935290880. Its totient is φ = 76677120.

The previous prime is 424744301. The next prime is 424744351. The reversal of 424744320 is 23447424.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24984952 + ... + 24984968.

It is an arithmetic number, because the mean of its divisors is an integer number (2519910).

Almost surely, 2^424744320 is an apocalyptic number.

424744320 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 424744320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967645440).

424744320 is an abundant number, since it is smaller than the sum of its proper divisors (1510546560).

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

424744320 is a wasteful number, since it uses less digits than its factorization.

424744320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 30.

The square root of 424744320 is about 20609.3260442936. The cubic root of 424744320 is about 751.6964974130.

The spelling of 424744320 in words is "four hundred twenty-four million, seven hundred forty-four thousand, three hundred twenty".