424084320 has 288 divisors, whose sum is σ = 1619733024. Its totient is φ = 100147200.

The previous prime is 424084307. The next prime is 424084333. The reversal of 424084320 is 23480424.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (424084307) and next prime (424084333).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 649114 + ... + 649766.

It is an arithmetic number, because the mean of its divisors is an integer number (5624073).

Almost surely, 2^424084320 is an apocalyptic number.

424084320 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 424084320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809866512).

424084320 is an abundant number, since it is smaller than the sum of its proper divisors (1195648704).

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

424084320 is a wasteful number, since it uses less digits than its factorization.

424084320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 424084320 is about 20593.3076507879. The cubic root of 424084320 is about 751.3069478601.

The spelling of 424084320 in words is "four hundred twenty-four million, eighty-four thousand, three hundred twenty".