254738952 has 128 divisors (see below), whose sum is σ = 771926400. Its totient is φ = 77366016.

The previous prime is 254738941. The next prime is 254738971. The reversal of 254738952 is 259837452.

254738952 = T₇₃ + T₇₄ + ... + T₁₁₅₁.

It is a super-4 number, since 4×254738952⁴ (a number of 35 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 254738898 and 254738907.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 232518 + ... + 233610.

It is an arithmetic number, because the mean of its divisors is an integer number (6030675).

Almost surely, 2^254738952 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 254738952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385963200).

254738952 is an abundant number, since it is smaller than the sum of its proper divisors (517187448).

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

254738952 is a wasteful number, since it uses less digits than its factorization.

254738952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204 (or 1194 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 254738952 is about 15960.5435997650. The cubic root of 254738952 is about 633.9161057544.

The spelling of 254738952 in words is "two hundred fifty-four million, seven hundred thirty-eight thousand, nine hundred fifty-two".