395028480 has 384 divisors, whose sum is σ = 1585059840. Its totient is φ = 81592320.

The previous prime is 395028479. The next prime is 395028499. The reversal of 395028480 is 84820593.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×395028480² = 312095000022220800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2365357 + ... + 2365523.

It is an arithmetic number, because the mean of its divisors is an integer number (4127760).

Almost surely, 2^395028480 is an apocalyptic number.

395028480 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 395028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792529920).

395028480 is an abundant number, since it is smaller than the sum of its proper divisors (1190031360).

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

395028480 is a wasteful number, since it uses less digits than its factorization.

395028480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 395028480 is about 19875.3233935954. The cubic root of 395028480 is about 733.7410258289.

The spelling of 395028480 in words is "three hundred ninety-five million, twenty-eight thousand, four hundred eighty".