4472177472 has 252 divisors, whose sum is σ = 15007055076. Its totient is φ = 1269596160.

The previous prime is 4472177449. The next prime is 4472177513. The reversal of 4472177472 is 2747712744.

4472177472 is a `hidden beast` number, since 4 + 4 + 7 + 2 + 177 + 472 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1151652096 + 3320525376 = 33936^2 + 57624^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5446822 + ... + 5447642.

Almost surely, 2^4472177472 is an apocalyptic number.

4472177472 is a gapful number since it is divisible by the number (42) 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 4472177472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7503527538).

4472177472 is an abundant number, since it is smaller than the sum of its proper divisors (10534877604).

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

4472177472 is a wasteful number, since it uses less digits than its factorization.

4472177472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1026 counting only the distinct ones).

The product of its digits is 614656, while the sum is 45.

The square root of 4472177472 is about 66874.3409089017. The cubic root of 4472177472 is about 1647.5540707575.

The spelling of 4472177472 in words is "four billion, four hundred seventy-two million, one hundred seventy-seven thousand, four hundred seventy-two".