395070144 has 140 divisors (see below), whose sum is σ = 1220855064. Its totient is φ = 112745472.

The previous prime is 395070133. The next prime is 395070163. The reversal of 395070144 is 441070593.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 460564 + ... + 461420.

Almost surely, 2^395070144 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 395070144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610427532).

395070144 is an abundant number, since it is smaller than the sum of its proper divisors (825784920).

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

395070144 is an frugal number, since it uses more digits than its factorization.

395070144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 395070144 is about 19876.3714998488. The cubic root of 395070144 is about 733.7668210251.

The spelling of 395070144 in words is "three hundred ninety-five million, seventy thousand, one hundred forty-four".