254201220 has 288 divisors, whose sum is σ = 992073600. Its totient is φ = 53561088.

The previous prime is 254201203. The next prime is 254201237. The reversal of 254201220 is 22102452.

254201220 is a `hidden beast` number, since 2 + 542 + 0 + 122 + 0 = 666.

254201220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (254201203) and next prime (254201237).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 254201193 and 254201202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 343611 + ... + 344349.

It is an arithmetic number, because the mean of its divisors is an integer number (3444700).

Almost surely, 2^254201220 is an apocalyptic number.

254201220 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 254201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496036800).

254201220 is an abundant number, since it is smaller than the sum of its proper divisors (737872380).

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

254201220 is a wasteful number, since it uses less digits than its factorization.

254201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 254201220 is about 15943.6890335957. The cubic root of 254201220 is about 633.4697440858.

Adding to 254201220 its reverse (22102452), we get a palindrome (276303672).

The spelling of 254201220 in words is "two hundred fifty-four million, two hundred one thousand, two hundred twenty".