424315920 has 320 divisors, whose sum is σ = 1619896320. Its totient is φ = 89677824.

The previous prime is 424315919. The next prime is 424315921. The reversal of 424315920 is 29513424.

It is an interprime number because it is at equal distance from previous prime (424315919) and next prime (424315921).

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

It is not an unprimeable number, because it can be changed into a prime (424315921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2370391 + ... + 2370569.

It is an arithmetic number, because the mean of its divisors is an integer number (5062176).

Almost surely, 2^424315920 is an apocalyptic number.

424315920 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 424315920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809948160).

424315920 is an abundant number, since it is smaller than the sum of its proper divisors (1195580400).

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

424315920 is a wasteful number, since it uses less digits than its factorization.

424315920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 424315920 is about 20598.9300693021. The cubic root of 424315920 is about 751.4436903389.

The spelling of 424315920 in words is "four hundred twenty-four million, three hundred fifteen thousand, nine hundred twenty".