424002964 has 48 divisors (see below), whose sum is σ = 927674496. Its totient is φ = 164736000.

The previous prime is 424002961. The next prime is 424002973. The reversal of 424002964 is 469200424.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424002961) 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 15 ways as a sum of consecutive naturals, for example, 121792 + ... + 125224.

It is an arithmetic number, because the mean of its divisors is an integer number (19326552).

Almost surely, 2^424002964 is an apocalyptic number.

424002964 is a gapful number since it is divisible by the number (44) 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 424002964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463837248).

424002964 is an abundant number, since it is smaller than the sum of its proper divisors (503671532).

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

424002964 is a wasteful number, since it uses less digits than its factorization.

424002964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3856 (or 3854 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 424002964 is about 20591.3322541306. The cubic root of 424002964 is about 751.2589014110.

The spelling of 424002964 in words is "four hundred twenty-four million, two thousand, nine hundred sixty-four".