254742912 has 96 divisors (see below), whose sum is σ = 736805160. Its totient is φ = 84480000.

The previous prime is 254742883. The next prime is 254742913. The reversal of 254742912 is 219247452.

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

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

Its product of digits (40320) is a multiple of the sum of its prime factors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254742913) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 288712 + ... + 289592.

Almost surely, 2^254742912 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 254742912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368402580).

254742912 is an abundant number, since it is smaller than the sum of its proper divisors (482062248).

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

254742912 is a wasteful number, since it uses less digits than its factorization.

254742912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1137 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 254742912 is about 15960.6676552079. The cubic root of 254742912 is about 633.9193905482.

The spelling of 254742912 in words is "two hundred fifty-four million, seven hundred forty-two thousand, nine hundred twelve".