395415561600 has 480 divisors, whose sum is σ = 1481014081800. Its totient is φ = 103865794560.

The previous prime is 395415561571. The next prime is 395415561601. The reversal of 395415561600 is 6165514593.

395415561600 is a `hidden beast` number, since 3 + 95 + 4 + 1 + 556 + 1 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395415561601) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 17355016 + ... + 17377784.

Almost surely, 2^395415561600 is an apocalyptic number.

395415561600 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 395415561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740507040900).

395415561600 is an abundant number, since it is smaller than the sum of its proper divisors (1085598520200).

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

395415561600 is a wasteful number, since it uses less digits than its factorization.

395415561600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22872 (or 22846 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 395415561600 in words is "three hundred ninety-five billion, four hundred fifteen million, five hundred sixty-one thousand, six hundred".