5464414224 has 100 divisors (see below), whose sum is σ = 15955988796. Its totient is φ = 1805303808.

The previous prime is 5464414213. The next prime is 5464414247. The reversal of 5464414224 is 4224144645.

5464414224 is a `hidden beast` number, since 5 + 4 + 644 + 1 + 4 + 2 + 2 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2869530624 + 2594883600 = 53568^2 + 50940^2 .

It is a super-2 number, since 2×5464414224² = 59719645622907044352, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 127792 + ... + 165104.

Almost surely, 2^5464414224 is an apocalyptic number.

5464414224 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 5464414224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7977994398).

5464414224 is an abundant number, since it is smaller than the sum of its proper divisors (10491574572).

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

5464414224 is a wasteful number, since it uses less digits than its factorization.

5464414224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37446 (or 37431 counting only the distinct ones).

The product of its digits is 122880, while the sum is 36.

The square root of 5464414224 is about 73921.6762796948. The cubic root of 5464414224 is about 1761.3589521614.

Adding to 5464414224 its reverse (4224144645), we get a palindrome (9688558869).

The spelling of 5464414224 in words is "five billion, four hundred sixty-four million, four hundred fourteen thousand, two hundred twenty-four".