254374944 has 96 divisors (see below), whose sum is σ = 716325120. Its totient is φ = 78753792.

The previous prime is 254374937. The next prime is 254374949. The reversal of 254374944 is 449473452.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×254374944² = 129413224270006272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 254374896 and 254374905.

It is not an unprimeable number, because it can be changed into a prime (254374949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127942 + ... + 129914.

It is an arithmetic number, because the mean of its divisors is an integer number (7461720).

Almost surely, 2^254374944 is an apocalyptic number.

254374944 is a gapful number since it is divisible by the number (24) 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 254374944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358162560).

254374944 is an abundant number, since it is smaller than the sum of its proper divisors (461950176).

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

254374944 is a wasteful number, since it uses less digits than its factorization.

254374944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2082 (or 2074 counting only the distinct ones).

The product of its digits is 483840, while the sum is 42.

The square root of 254374944 is about 15949.1361521557. The cubic root of 254374944 is about 633.6140180298.

It can be divided in two parts, 25437 and 4944, that added together give a triangular number (30381 = T₂₄₆).

The spelling of 254374944 in words is "two hundred fifty-four million, three hundred seventy-four thousand, nine hundred forty-four".