395472420 has 288 divisors, whose sum is σ = 1446681600. Its totient is φ = 85542912.

The previous prime is 395472361. The next prime is 395472421. The reversal of 395472420 is 24274593.

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

It is not an unprimeable number, because it can be changed into a prime (395472421) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2886592 + ... + 2886728.

It is an arithmetic number, because the mean of its divisors is an integer number (5023200).

Almost surely, 2^395472420 is an apocalyptic number.

395472420 is a gapful number since it is divisible by the number (30) 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 395472420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723340800).

395472420 is an abundant number, since it is smaller than the sum of its proper divisors (1051209180).

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

395472420 is a wasteful number, since it uses less digits than its factorization.

395472420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 395472420 is about 19886.4883777906. The cubic root of 395472420 is about 734.0157866463.

The spelling of 395472420 in words is "three hundred ninety-five million, four hundred seventy-two thousand, four hundred twenty".