5408046000 has 800 divisors, whose sum is σ = 23593489920. Its totient is φ = 1166400000.

The previous prime is 5408045987. The next prime is 5408046011. The reversal of 5408046000 is 6408045.

5408046000 is a `hidden beast` number, since 54 + 0 + 8 + 0 + 4 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 21545875 + ... + 21546125.

Almost surely, 2^5408046000 is an apocalyptic number.

5408046000 is a gapful number since it is divisible by the number (50) 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 5408046000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11796744960).

5408046000 is an abundant number, since it is smaller than the sum of its proper divisors (18185443920).

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

5408046000 is a wasteful number, since it uses less digits than its factorization.

5408046000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5408046000 is about 73539.4180015045. The cubic root of 5408046000 is about 1755.2815677975.

The spelling of 5408046000 in words is "five billion, four hundred eight million, forty-six thousand".