395447472 has 240 divisors, whose sum is σ = 1370483712. Its totient is φ = 103864320.

The previous prime is 395447471. The next prime is 395447477. The reversal of 395447472 is 274744593.

395447472 is a `hidden beast` number, since 39 + 544 + 7 + 4 + 72 = 666.

It is a super-2 number, since 2×395447472² = 312757406222381568, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (846720) is a multiple of the sum of its prime factors (576).

It is not an unprimeable number, because it can be changed into a prime (395447471) 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, 805147 + ... + 805637.

Almost surely, 2^395447472 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 395447472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685241856).

395447472 is an abundant number, since it is smaller than the sum of its proper divisors (975036240).

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

395447472 is a wasteful number, since it uses less digits than its factorization.

395447472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 567 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 395447472 is about 19885.8611078324. The cubic root of 395447472 is about 734.0003514267. Note that the first 3 decimals are identical.

The spelling of 395447472 in words is "three hundred ninety-five million, four hundred forty-seven thousand, four hundred seventy-two".