930749040 has 120 divisors (see below), whose sum is σ = 3366242880. Its totient is φ = 229105152.

The previous prime is 930749033. The next prime is 930749081. The reversal of 930749040 is 40947039.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 930748986 and 930749004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40360 + ... + 59079.

It is an arithmetic number, because the mean of its divisors is an integer number (28052024).

Almost surely, 2^930749040 is an apocalyptic number.

930749040 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

930749040 is an abundant number, since it is smaller than the sum of its proper divisors (2435493840).

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

930749040 is a wasteful number, since it uses less digits than its factorization.

930749040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99471 (or 99462 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 930749040 is about 30508.1798867124. The cubic root of 930749040 is about 976.3619939576.

The spelling of 930749040 in words is "nine hundred thirty million, seven hundred forty-nine thousand, forty".