395407460736 has 128 divisors (see below), whose sum is σ = 1198542146400. Its totient is φ = 128240216064.

The previous prime is 395407460729. The next prime is 395407460737. The reversal of 395407460736 is 637064704593.

It is a happy number.

395407460736 is a `hidden beast` number, since 3 + 9 + 540 + 7 + 4 + 60 + 7 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395407460737) 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 15 ways as a sum of consecutive naturals, for example, 1418235 + ... + 1673978.

Almost surely, 2^395407460736 is an apocalyptic number.

395407460736 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

395407460736 is an abundant number, since it is smaller than the sum of its proper divisors (803134685664).

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

395407460736 is a wasteful number, since it uses less digits than its factorization.

395407460736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3092273 (or 3092255 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 395407460736 in words is "three hundred ninety-five billion, four hundred seven million, four hundred sixty thousand, seven hundred thirty-six".