235032480 has 144 divisors (see below), whose sum is σ = 849316104. Its totient is φ = 58982400.

The previous prime is 235032461. The next prime is 235032487. The reversal of 235032480 is 84230532.

It can be written as a sum of positive squares in 4 ways, for example, as 228251664 + 6780816 = 15108^2 + 2604^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (235032487) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 19680 + ... + 29280.

Almost surely, 2^235032480 is an apocalyptic number.

235032480 is a gapful number since it is divisible by the number (20) 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 235032480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424658052).

235032480 is an abundant number, since it is smaller than the sum of its proper divisors (614283624).

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

235032480 is a wasteful number, since it uses less digits than its factorization.

235032480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9639 (or 9628 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 235032480 is about 15330.7690609441. The cubic root of 235032480 is about 617.1290083606.

The spelling of 235032480 in words is "two hundred thirty-five million, thirty-two thousand, four hundred eighty".