5735408 has 40 divisors (see below), whose sum is σ = 13020000. Its totient is φ = 2396160.

The previous prime is 5735393. The next prime is 5735413. The reversal of 5735408 is 8045375.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3968 + ... + 5216.

It is an arithmetic number, because the mean of its divisors is an integer number (325500).

Almost surely, 2^5735408 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 5735408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6510000).

5735408 is an abundant number, since it is smaller than the sum of its proper divisors (7284592).

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

5735408 is a wasteful number, since it uses less digits than its factorization.

5735408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 5735408 is about 2394.8711865150. The cubic root of 5735408 is about 179.0007178274. Note that the first 3 decimals are identical.

The spelling of 5735408 in words is "five million, seven hundred thirty-five thousand, four hundred eight".