5435040 has 144 divisors (see below), whose sum is σ = 18815328. Its totient is φ = 1317888.

The previous prime is 5435029. The next prime is 5435047. The reversal of 5435040 is 405345.

It is a happy number.

5435040 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 5434998 and 5435016.

It is not an unprimeable number, because it can be changed into a prime (5435047) 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, 81087 + ... + 81153.

It is an arithmetic number, because the mean of its divisors is an integer number (130662).

Almost surely, 2^5435040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5435040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9407664).

5435040 is an abundant number, since it is smaller than the sum of its proper divisors (13380288).

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

5435040 is a wasteful number, since it uses less digits than its factorization.

5435040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 5435040 is about 2331.3172242318. The cubic root of 5435040 is about 175.8197189781.

The spelling of 5435040 in words is "five million, four hundred thirty-five thousand, forty".