424929960 has 576 divisors, whose sum is σ = 1848646800. Its totient is φ = 83607552.

The previous prime is 424929893. The next prime is 424929979. The reversal of 424929960 is 69929424.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 205119684 + 219810276 = 14322^2 + 14826^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3898386 + ... + 3898494.

Almost surely, 2^424929960 is an apocalyptic number.

424929960 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 424929960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924323400).

424929960 is an abundant number, since it is smaller than the sum of its proper divisors (1423716840).

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

424929960 is a wasteful number, since it uses less digits than its factorization.

424929960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 156 counting only the distinct ones).

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

The square root of 424929960 is about 20613.8293385775. The cubic root of 424929960 is about 751.8059943552.

The spelling of 424929960 in words is "four hundred twenty-four million, nine hundred twenty-nine thousand, nine hundred sixty".