254001020 has 96 divisors (see below), whose sum is σ = 666613248. Its totient is φ = 79149312.

The previous prime is 254001001. The next prime is 254001049. The reversal of 254001020 is 20100452.

It is a super-2 number, since 2×254001020² = 129033036322080800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 254000986 and 254001004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120899 + ... + 122981.

It is an arithmetic number, because the mean of its divisors is an integer number (6943888).

Almost surely, 2^254001020 is an apocalyptic number.

254001020 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 254001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333306624).

254001020 is an abundant number, since it is smaller than the sum of its proper divisors (412612228).

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

254001020 is a wasteful number, since it uses less digits than its factorization.

254001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2179 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 254001020 is about 15937.4094507232. The cubic root of 254001020 is about 633.3034008630.

Adding to 254001020 its reverse (20100452), we get a palindrome (274101472).

The spelling of 254001020 in words is "two hundred fifty-four million, one thousand, twenty".