254262420 has 72 divisors (see below), whose sum is σ = 773898216. Its totient is φ = 67571712.

The previous prime is 254262413. The next prime is 254262451. The reversal of 254262420 is 24262452.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 40985604 + 213276816 = 6402^2 + 14604^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54084 + ... + 58596.

Almost surely, 2^254262420 is an apocalyptic number.

254262420 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 254262420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386949108).

254262420 is an abundant number, since it is smaller than the sum of its proper divisors (519635796).

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

254262420 is a wasteful number, since it uses less digits than its factorization.

254262420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4841 (or 4836 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 254262420 is about 15945.6081727854. The cubic root of 254262420 is about 633.5205768310.

The spelling of 254262420 in words is "two hundred fifty-four million, two hundred sixty-two thousand, four hundred twenty".