395648297528400 has 960 divisors, whose sum is σ = 1669155887424000. Its totient is φ = 88951322880000.

The previous prime is 395648297528369. The next prime is 395648297528503. The reversal of 395648297528400 is 4825792846593.

395648297528400 is a `hidden beast` number, since 3 + 9 + 5 + 6 + 4 + 8 + 2 + 97 + 528 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 225092950 + ... + 226843850.

It is an arithmetic number, because the mean of its divisors is an integer number (1738704049400).

Almost surely, 2^{395648297528400} is an apocalyptic number.

395648297528400 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 395648297528400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834577943712000).

395648297528400 is an abundant number, since it is smaller than the sum of its proper divisors (1273507589895600).

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

395648297528400 is a wasteful number, since it uses less digits than its factorization.

395648297528400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1751010 (or 1750979 counting only the distinct ones).

The product of its (nonzero) digits is 1045094400, while the sum is 72.

The spelling of 395648297528400 in words is "three hundred ninety-five trillion, six hundred forty-eight billion, two hundred ninety-seven million, five hundred twenty-eight thousand, four hundred".