395142272 has 72 divisors (see below), whose sum is σ = 919382355. Its totient is φ = 168672000.

The previous prime is 395142263. The next prime is 395142283. The reversal of 395142272 is 272241593.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 197571136 + 197571136 = 14056^2 + 14056^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=14056.

It is a super-2 number, since 2×395142272² = 312274830242643968, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1574147 + ... + 1574397.

Almost surely, 2^395142272 is an apocalyptic number.

395142272 is a gapful number since it is divisible by the number (32) 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 395142272

395142272 is an abundant number, since it is smaller than the sum of its proper divisors (524240083).

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

395142272 is an frugal number, since it uses more digits than its factorization.

395142272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 260 counting only the distinct ones).

The product of its digits is 30240, while the sum is 35.

The square root of 395142272 is about 19878.1858327162. The cubic root of 395142272 is about 733.8114729378.

The spelling of 395142272 in words is "three hundred ninety-five million, one hundred forty-two thousand, two hundred seventy-two".