1815478272 has 252 divisors, whose sum is σ = 5730445980. Its totient is φ = 573308928.

The previous prime is 1815478261. The next prime is 1815478283. The reversal of 1815478272 is 2728745181.

1815478272 is a `hidden beast` number, since 1 + 81 + 547 + 8 + 27 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1815478261) and next prime (1815478283).

It is a super-2 number, since 2×1815478272² = 6591922712208211968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 95551479 + ... + 95551497.

It is an arithmetic number, because the mean of its divisors is an integer number (22739865).

Almost surely, 2^1815478272 is an apocalyptic number.

1815478272 is a gapful number since it is divisible by the number (12) 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 1815478272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2865222990).

1815478272 is an abundant number, since it is smaller than the sum of its proper divisors (3914967708).

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

1815478272 is an frugal number, since it uses more digits than its factorization.

1815478272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 24 counting only the distinct ones).

The product of its digits is 250880, while the sum is 45.

The square root of 1815478272 is about 42608.4295885216. The cubic root of 1815478272 is about 1219.9171922654.

The spelling of 1815478272 in words is "one billion, eight hundred fifteen million, four hundred seventy-eight thousand, two hundred seventy-two".