935475840 has 432 divisors, whose sum is σ = 3614390910. Its totient is φ = 222842880.

The previous prime is 935475839. The next prime is 935475859. The reversal of 935475840 is 48574539.

It can be written as a sum of positive squares in 3 ways, for example, as 403527744 + 531948096 = 20088^2 + 23064^2 .

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

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 53 ways as a sum of consecutive naturals, for example, 30176625 + ... + 30176655.

Almost surely, 2^935475840 is an apocalyptic number.

935475840 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 935475840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807195455).

935475840 is an abundant number, since it is smaller than the sum of its proper divisors (2678915070).

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

935475840 is a wasteful number, since it uses less digits than its factorization.

935475840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 935475840 is about 30585.5495291486. The cubic root of 935475840 is about 978.0120188720.

Adding to 935475840 its sum of digits (45), we get a triangular number (935475885 = T₄₃₂₅₄).

The spelling of 935475840 in words is "nine hundred thirty-five million, four hundred seventy-five thousand, eight hundred forty".