5435793408 has 168 divisors, whose sum is σ = 15068690208. Its totient is φ = 1742798848.

The previous prime is 5435793403. The next prime is 5435793439. The reversal of 5435793408 is 8043975345.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (5435793403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20668285 + ... + 20668547.

Almost surely, 2^5435793408 is an apocalyptic number.

5435793408 is a gapful number since it is divisible by the number (58) 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 5435793408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7534345104).

5435793408 is an abundant number, since it is smaller than the sum of its proper divisors (9632896800).

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

5435793408 is an equidigital number, since it uses as much as digits as its factorization.

5435793408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The square root of 5435793408 is about 73727.8333331450. The cubic root of 5435793408 is about 1758.2784267564.

The spelling of 5435793408 in words is "five billion, four hundred thirty-five million, seven hundred ninety-three thousand, four hundred eight".