395201033460 has 36 divisors (see below), whose sum is σ = 1198776468708. Its totient is φ = 105386942208.

The previous prime is 395201033449. The next prime is 395201033483. The reversal of 395201033460 is 64330102593.

It is a happy number.

395201033460 is a `hidden beast` number, since 3 + 95 + 2 + 0 + 103 + 3 + 460 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 115548325776 + 279652707684 = 339924^2 + 528822^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1097780469 + ... + 1097780828.

It is an arithmetic number, because the mean of its divisors is an integer number (33299346353).

Almost surely, 2^395201033460 is an apocalyptic number.

395201033460 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

395201033460 is an abundant number, since it is smaller than the sum of its proper divisors (803575435248).

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

395201033460 is a wasteful number, since it uses less digits than its factorization.

395201033460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2195561312 (or 2195561307 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 395201033460 in words is "three hundred ninety-five billion, two hundred one million, thirty-three thousand, four hundred sixty".