254023040 has 64 divisors (see below), whose sum is σ = 633713760. Its totient is φ = 97185792.

The previous prime is 254023039. The next prime is 254023043. The reversal of 254023040 is 40320452.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254023043) 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, 6092 + ... + 23348.

Almost surely, 2^254023040 is an apocalyptic number.

254023040 is a gapful number since it is divisible by the number (20) 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 254023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316856880).

254023040 is an abundant number, since it is smaller than the sum of its proper divisors (379690720).

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

254023040 is a wasteful number, since it uses less digits than its factorization.

254023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17299 (or 17287 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 254023040 is about 15938.1002632058. The cubic root of 254023040 is about 633.3217012330.

Adding to 254023040 its reverse (40320452), we get a palindrome (294343492).

The spelling of 254023040 in words is "two hundred fifty-four million, twenty-three thousand, forty".