4735924240 has 40 divisors (see below), whose sum is σ = 11024091288. Its totient is φ = 1892121600.

The previous prime is 4735924223. The next prime is 4735924267. The reversal of 4735924240 is 424295374.

It can be written as a sum of positive squares in 4 ways, for example, as 85229824 + 4650694416 = 9232^2 + 68196^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4735924193 and 4735924202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33540 + ... + 102940.

Almost surely, 2^4735924240 is an apocalyptic number.

4735924240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4735924240 is an abundant number, since it is smaller than the sum of its proper divisors (6288167048).

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

4735924240 is a wasteful number, since it uses less digits than its factorization.

4735924240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70267 (or 70261 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The square root of 4735924240 is about 68818.0517015703. The cubic root of 4735924240 is about 1679.3256269157.

The spelling of 4735924240 in words is "four billion, seven hundred thirty-five million, nine hundred twenty-four thousand, two hundred forty".