424692960 has 96 divisors (see below), whose sum is σ = 1341204480. Its totient is φ = 112962048.

The previous prime is 424692943. The next prime is 424692971. The reversal of 424692960 is 69296424.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×424692960² = 360728220547123200, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 240561 + ... + 242319.

It is an arithmetic number, because the mean of its divisors is an integer number (13970880).

Almost surely, 2^424692960 is an apocalyptic number.

424692960 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 424692960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670602240).

424692960 is an abundant number, since it is smaller than the sum of its proper divisors (916511520).

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

424692960 is a wasteful number, since it uses less digits than its factorization.

424692960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2280 (or 2272 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 424692960 is about 20608.0799687889. The cubic root of 424692960 is about 751.6661978606. Note that the first 3 decimals are identical.

The spelling of 424692960 in words is "four hundred twenty-four million, six hundred ninety-two thousand, nine hundred sixty".