254416272 has 40 divisors (see below), whose sum is σ = 716992800. Its totient is φ = 77095680.

The previous prime is 254416249. The next prime is 254416277. The reversal of 254416272 is 272614452.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (254416277) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 240397 + ... + 241452.

It is an arithmetic number, because the mean of its divisors is an integer number (17924820).

Almost surely, 2^254416272 is an apocalyptic number.

254416272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

254416272 is an abundant number, since it is smaller than the sum of its proper divisors (462576528).

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

254416272 is a wasteful number, since it uses less digits than its factorization.

254416272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481871 (or 481865 counting only the distinct ones).

The product of its digits is 26880, while the sum is 33.

The square root of 254416272 is about 15950.4317182953. The cubic root of 254416272 is about 633.6483303481.

It can be divided in two parts, 25441 and 6272, that added together give a palindrome (31713).

The spelling of 254416272 in words is "two hundred fifty-four million, four hundred sixteen thousand, two hundred seventy-two".