424016960 has 112 divisors (see below), whose sum is σ = 1074456576. Its totient is φ = 159025152.

The previous prime is 424016951. The next prime is 424016963. The reversal of 424016960 is 69610424.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (424016963) 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, 389537 + ... + 390623.

Almost surely, 2^424016960 is an apocalyptic number.

424016960 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 424016960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537228288).

424016960 is an abundant number, since it is smaller than the sum of its proper divisors (650439616).

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

424016960 is a wasteful number, since it uses less digits than its factorization.

424016960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 424016960 is about 20591.6721030615. The cubic root of 424016960 is about 751.2671674727.

It can be divided in two parts, 4240 and 16960, that multiplied together give a square (71910400 = 8480²).

The spelling of 424016960 in words is "four hundred twenty-four million, sixteen thousand, nine hundred sixty".