395480219400 has 144 divisors (see below), whose sum is σ = 1517890795200. Its totient is φ = 90395475840.

The previous prime is 395480219377. The next prime is 395480219441. The reversal of 395480219400 is 4912084593.

395480219400 is a `hidden beast` number, since 395 + 4 + 8 + 0 + 219 + 40 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15681060 + ... + 15706259.

It is an arithmetic number, because the mean of its divisors is an integer number (10540908300).

Almost surely, 2^395480219400 is an apocalyptic number.

395480219400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

395480219400 is an abundant number, since it is smaller than the sum of its proper divisors (1122410575800).

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

395480219400 is a wasteful number, since it uses less digits than its factorization.

395480219400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31387348 (or 31387336 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 395480219400 in words is "three hundred ninety-five billion, four hundred eighty million, two hundred nineteen thousand, four hundred".