395420544 has 192 divisors, whose sum is σ = 1228247280. Its totient is φ = 121651200.

The previous prime is 395420491. The next prime is 395420563. The reversal of 395420544 is 445024593.

It is a happy number.

395420544 is a `hidden beast` number, since 3 + 95 + 4 + 20 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 395420499 and 395420508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1194459 + ... + 1194789.

Almost surely, 2^395420544 is an apocalyptic number.

395420544 is a gapful number since it is divisible by the number (34) 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 395420544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614123640).

395420544 is an abundant number, since it is smaller than the sum of its proper divisors (832826736).

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

395420544 is a wasteful number, since it uses less digits than its factorization.

395420544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 395420544 is about 19885.1840323393. The cubic root of 395420544 is about 733.9836904612.

The spelling of 395420544 in words is "three hundred ninety-five million, four hundred twenty thousand, five hundred forty-four".