254020000 has 120 divisors (see below), whose sum is σ = 673687476. Its totient is φ = 93696000.

The previous prime is 254019991. The next prime is 254020003. The reversal of 254020000 is 20452.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 11532816 + 242487184 = 3396^2 + 15572^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (254020003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 259512 + ... + 260488.

Almost surely, 2^254020000 is an apocalyptic number.

254020000 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 254020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336843738).

254020000 is an abundant number, since it is smaller than the sum of its proper divisors (419667476).

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

254020000 is an equidigital number, since it uses as much as digits as its factorization.

254020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 254020000 is about 15938.0048939634. The cubic root of 254020000 is about 633.3191748143.

Adding to 254020000 its reverse (20452), we get a palindrome (254040452).

It can be divided in two parts, 25 and 4020000, that added together give a square (4020025 = 2005²).

The spelling of 254020000 in words is "two hundred fifty-four million, twenty thousand".