254153020 has 96 divisors (see below), whose sum is σ = 603542016. Its totient is φ = 89107200.

The previous prime is 254152999. The next prime is 254153027. The reversal of 254153020 is 20351452.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 254152982 and 254153000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254153027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 827707 + ... + 828013.

It is an arithmetic number, because the mean of its divisors is an integer number (6286896).

Almost surely, 2^254153020 is an apocalyptic number.

254153020 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 254153020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301771008).

254153020 is an abundant number, since it is smaller than the sum of its proper divisors (349388996).

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

254153020 is a wasteful number, since it uses less digits than its factorization.

254153020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 254153020 is about 15942.1773920629. The cubic root of 254153020 is about 633.4297034024.

The spelling of 254153020 in words is "two hundred fifty-four million, one hundred fifty-three thousand, twenty".