929940480 has 528 divisors, whose sum is σ = 3902728320. Its totient is φ = 205701120.

The previous prime is 929940433. The next prime is 929940481. The reversal of 929940480 is 84049929.

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 (929940481) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 29998065 + ... + 29998095.

Almost surely, 2^929940480 is an apocalyptic number.

929940480 is a gapful number since it is divisible by the number (90) 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 929940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1951364160).

929940480 is an abundant number, since it is smaller than the sum of its proper divisors (2972787840).

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

929940480 is a wasteful number, since it uses less digits than its factorization.

929940480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 929940480 is about 30494.9254794958. The cubic root of 929940480 is about 976.0791837574.

The spelling of 929940480 in words is "nine hundred twenty-nine million, nine hundred forty thousand, four hundred eighty".