5451405824 has 80 divisors (see below), whose sum is σ = 11506867680. Its totient is φ = 2572922880.

The previous prime is 5451405803. The next prime is 5451405851. The reversal of 5451405824 is 4285041545.

It is a happy number.

It is a super-2 number, since 2×5451405824² = 59435650915882237952, which contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (38).

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, 3219122 + ... + 3220814.

It is an arithmetic number, because the mean of its divisors is an integer number (143835846).

Almost surely, 2^5451405824 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 5451405824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5753433840).

5451405824 is an abundant number, since it is smaller than the sum of its proper divisors (6055461856).

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

5451405824 is a wasteful number, since it uses less digits than its factorization.

5451405824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2061 (or 2045 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 38.

The square root of 5451405824 is about 73833.6361287997. The cubic root of 5451405824 is about 1759.9601643876.

The spelling of 5451405824 in words is "five billion, four hundred fifty-one million, four hundred five thousand, eight hundred twenty-four".