395154144 has 288 divisors, whose sum is σ = 1422779904. Its totient is φ = 101053440.

The previous prime is 395154143. The next prime is 395154173. The reversal of 395154144 is 441451593.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×395154144² = 312293595040745472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 395154099 and 395154108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395154143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2284042 + ... + 2284214.

It is an arithmetic number, because the mean of its divisors is an integer number (4940208).

Almost surely, 2^395154144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 395154144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711389952).

395154144 is an abundant number, since it is smaller than the sum of its proper divisors (1027625760).

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

395154144 is a wasteful number, since it uses less digits than its factorization.

395154144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 299 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 395154144 is about 19878.4844492733. The cubic root of 395154144 is about 733.8188219554.

The spelling of 395154144 in words is "three hundred ninety-five million, one hundred fifty-four thousand, one hundred forty-four".