930129440 has 24 divisors (see below), whose sum is σ = 2197431180. Its totient is φ = 372051712.

The previous prime is 930129437. The next prime is 930129461. The reversal of 930129440 is 44921039.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 891141904 + 38987536 = 29852^2 + 6244^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 930129397 and 930129406.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2906495 + ... + 2906814.

Almost surely, 2^930129440 is an apocalyptic number.

It is an amenable number.

930129440 is an abundant number, since it is smaller than the sum of its proper divisors (1267301740).

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

930129440 is a wasteful number, since it uses less digits than its factorization.

930129440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5813324 (or 5813316 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 930129440 is about 30498.0235425183. The cubic root of 930129440 is about 976.1452910103.

The spelling of 930129440 in words is "nine hundred thirty million, one hundred twenty-nine thousand, four hundred forty".