929985030 has 192 divisors, whose sum is σ = 2727432000. Its totient is φ = 225358848.

The previous prime is 929984987. The next prime is 929985031. The reversal of 929985030 is 30589929.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (929985031) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4060956 + ... + 4061184.

It is an arithmetic number, because the mean of its divisors is an integer number (14205375).

Almost surely, 2^929985030 is an apocalyptic number.

929985030 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 929985030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363716000).

929985030 is an abundant number, since it is smaller than the sum of its proper divisors (1797446970).

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

929985030 is a wasteful number, since it uses less digits than its factorization.

929985030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 929985030 is about 30495.6559201471. The cubic root of 929985030 is about 976.0947702866.

The spelling of 929985030 in words is "nine hundred twenty-nine million, nine hundred eighty-five thousand, thirty".