395437680 has 480 divisors, whose sum is σ = 1603022400. Its totient is φ = 89210880.

The previous prime is 395437667. The next prime is 395437681. The reversal of 395437680 is 86734593.

395437680 is a `hidden beast` number, since 39 + 543 + 76 + 8 + 0 = 666.

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 (395437681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4443076 + ... + 4443164.

It is an arithmetic number, because the mean of its divisors is an integer number (3339630).

Almost surely, 2^395437680 is an apocalyptic number.

395437680 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 395437680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801511200).

395437680 is an abundant number, since it is smaller than the sum of its proper divisors (1207584720).

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

395437680 is a wasteful number, since it uses less digits than its factorization.

395437680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 127 counting only the distinct ones).

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

The square root of 395437680 is about 19885.6149012295. The cubic root of 395437680 is about 733.9942929813.

The spelling of 395437680 in words is "three hundred ninety-five million, four hundred thirty-seven thousand, six hundred eighty".