254034672 has 80 divisors (see below), whose sum is σ = 697455360. Its totient is φ = 79399936.

The previous prime is 254034661. The next prime is 254034709. The reversal of 254034672 is 276430452.

It is a super-2 number, since 2×254034672² = 129067229156295168, 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 15 ways as a sum of consecutive naturals, for example, 341533 + ... + 342275.

It is an arithmetic number, because the mean of its divisors is an integer number (8718192).

Almost surely, 2^254034672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 254034672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348727680).

254034672 is an abundant number, since it is smaller than the sum of its proper divisors (443420688).

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

254034672 is a wasteful number, since it uses less digits than its factorization.

254034672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 254034672 is about 15938.4651707748. The cubic root of 254034672 is about 633.3313679225.

The spelling of 254034672 in words is "two hundred fifty-four million, thirty-four thousand, six hundred seventy-two".