5406306000 has 160 divisors (see below), whose sum is σ = 18455568768. Its totient is φ = 1356851200.

The previous prime is 5406305939. The next prime is 5406306013. The reversal of 5406306000 is 6036045.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75499 + ... + 128501.

Almost surely, 2^5406306000 is an apocalyptic number.

5406306000 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 5406306000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9227784384).

5406306000 is an abundant number, since it is smaller than the sum of its proper divisors (13049262768).

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

5406306000 is a wasteful number, since it uses less digits than its factorization.

5406306000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53046 (or 53030 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 5406306000 is about 73527.5866597021. The cubic root of 5406306000 is about 1755.0932978542.

The spelling of 5406306000 in words is "five billion, four hundred six million, three hundred six thousand".