395499352320 has 288 divisors, whose sum is σ = 1406293257600. Its totient is φ = 105254608896.

The previous prime is 395499352319. The next prime is 395499352349. The reversal of 395499352320 is 23253994593.

395499352320 is a `hidden beast` number, since 3 + 9 + 5 + 4 + 9 + 93 + 523 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17579799 + ... + 17602281.

It is an arithmetic number, because the mean of its divisors is an integer number (4882962700).

Almost surely, 2^395499352320 is an apocalyptic number.

395499352320 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 395499352320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703146628800).

395499352320 is an abundant number, since it is smaller than the sum of its proper divisors (1010793905280).

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

395499352320 is a wasteful number, since it uses less digits than its factorization.

395499352320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23022 (or 23002 counting only the distinct ones).

The product of its (nonzero) digits is 7873200, while the sum is 54.

The spelling of 395499352320 in words is "three hundred ninety-five billion, four hundred ninety-nine million, three hundred fifty-two thousand, three hundred twenty".