424992960 has 224 divisors, whose sum is σ = 1713707520. Its totient is φ = 97127424.

The previous prime is 424992947. The next prime is 424992961. The reversal of 424992960 is 69299424.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (424992961) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 56967 + ... + 63993.

It is an arithmetic number, because the mean of its divisors is an integer number (7650480).

Almost surely, 2^424992960 is an apocalyptic number.

424992960 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 424992960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856853760).

424992960 is an abundant number, since it is smaller than the sum of its proper divisors (1288714560).

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

424992960 is a wasteful number, since it uses less digits than its factorization.

424992960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7060 (or 7044 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 424992960 is about 20615.3573823012. The cubic root of 424992960 is about 751.8431467031.

The spelling of 424992960 in words is "four hundred twenty-four million, nine hundred ninety-two thousand, nine hundred sixty".