5405284224 has 128 divisors (see below), whose sum is σ = 16150884000. Its totient is φ = 1801668096.

The previous prime is 5405284187. The next prime is 5405284229. The reversal of 5405284224 is 4224825045.

5405284224 is a `hidden beast` number, since 5 + 405 + 28 + 4 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5405284229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270282 + ... + 289590.

Almost surely, 2^5405284224 is an apocalyptic number.

5405284224 is a gapful number since it is divisible by the number (54) 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 5405284224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8075442000).

5405284224 is an abundant number, since it is smaller than the sum of its proper divisors (10745599776).

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

5405284224 is an frugal number, since it uses more digits than its factorization.

5405284224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19344 (or 19314 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

The square root of 5405284224 is about 73520.6380821059. The cubic root of 5405284224 is about 1754.9827217234.

The spelling of 5405284224 in words is "five billion, four hundred five million, two hundred eighty-four thousand, two hundred twenty-four".