5408813256 has 144 divisors (see below), whose sum is σ = 17290138320. Its totient is φ = 1404849600.

The previous prime is 5408813243. The next prime is 5408813269. The reversal of 5408813256 is 6523188045.

It is an interprime number because it is at equal distance from previous prime (5408813243) and next prime (5408813269).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 123291 + ... + 161301.

It is an arithmetic number, because the mean of its divisors is an integer number (120070405).

Almost surely, 2^5408813256 is an apocalyptic number.

5408813256 is a gapful number since it is divisible by the number (56) 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 5408813256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8645069160).

5408813256 is an abundant number, since it is smaller than the sum of its proper divisors (11881325064).

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

5408813256 is a wasteful number, since it uses less digits than its factorization.

5408813256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38056 (or 38034 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 5408813256 is about 73544.6344473885. The cubic root of 5408813256 is about 1755.3645729242.

The spelling of 5408813256 in words is "five billion, four hundred eight million, eight hundred thirteen thousand, two hundred fifty-six".