395284246560 has 288 divisors, whose sum is σ = 1609372437120. Its totient is φ = 90350636544.

The previous prime is 395284246541. The next prime is 395284246561. The reversal of 395284246560 is 65642482593.

395284246560 is a `hidden beast` number, since 3 + 9 + 52 + 8 + 4 + 24 + 6 + 560 = 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 a junction number, because it is equal to n+sod(n) for n = 395284246497 and 395284246506.

It is not an unprimeable number, because it can be changed into a prime (395284246561) 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, 722004 + ... + 1145363.

It is an arithmetic number, because the mean of its divisors is an integer number (5588098740).

Almost surely, 2^395284246560 is an apocalyptic number.

395284246560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

395284246560 is an abundant number, since it is smaller than the sum of its proper divisors (1214088190560).

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

395284246560 is a wasteful number, since it uses less digits than its factorization.

395284246560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1867405 (or 1867384 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 395284246560 in words is "three hundred ninety-five billion, two hundred eighty-four million, two hundred forty-six thousand, five hundred sixty".