1214458272 has 120 divisors (see below), whose sum is σ = 3630712932. Its totient is φ = 398131200.

The previous prime is 1214458261. The next prime is 1214458277. The reversal of 1214458272 is 2728544121.

1214458272 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 4 + 582 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1167178896 + 47279376 = 34164^2 + 6876^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1214458277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 154272 + ... + 161952.

Almost surely, 2^1214458272 is an apocalyptic number.

1214458272 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 1214458272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1815356466).

1214458272 is an abundant number, since it is smaller than the sum of its proper divisors (2416254660).

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

1214458272 is an equidigital number, since it uses as much as digits as its factorization.

1214458272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7764 (or 7747 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 1214458272 is about 34849.0784957077. The cubic root of 1214458272 is about 1066.9093777550.

The spelling of 1214458272 in words is "one billion, two hundred fourteen million, four hundred fifty-eight thousand, two hundred seventy-two".