395254080 has 672 divisors, whose sum is σ = 1677521664. Its totient is φ = 87588864.

The previous prime is 395254049. The next prime is 395254081. The reversal of 395254080 is 80452593.

395254080 is a `hidden beast` number, since 39 + 5 + 2 + 540 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395254081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17184949 + ... + 17184971.

It is an arithmetic number, because the mean of its divisors is an integer number (2496312).

Almost surely, 2^395254080 is an apocalyptic number.

395254080 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 395254080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838760832).

395254080 is an abundant number, since it is smaller than the sum of its proper divisors (1282267584).

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

395254080 is a wasteful number, since it uses less digits than its factorization.

395254080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 395254080 is about 19880.9979628790. The cubic root of 395254080 is about 733.8806786068.

The spelling of 395254080 in words is "three hundred ninety-five million, two hundred fifty-four thousand, eighty".