395497440 has 288 divisors, whose sum is σ = 1495349856. Its totient is φ = 94556160.

The previous prime is 395497381. The next prime is 395497441. The reversal of 395497440 is 44794593.

It is a happy number.

395497440 is a `hidden beast` number, since 39 + 549 + 74 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (395497441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 692355 + ... + 692925.

It is an arithmetic number, because the mean of its divisors is an integer number (5192187).

Almost surely, 2^395497440 is an apocalyptic number.

395497440 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 395497440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747674928).

395497440 is an abundant number, since it is smaller than the sum of its proper divisors (1099852416).

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

395497440 is a wasteful number, since it uses less digits than its factorization.

395497440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 395497440 is about 19887.1174381809. The cubic root of 395497440 is about 734.0312657600.

The spelling of 395497440 in words is "three hundred ninety-five million, four hundred ninety-seven thousand, four hundred forty".