395988480 has 320 divisors, whose sum is σ = 1493743680. Its totient is φ = 99090432.

The previous prime is 395988479. The next prime is 395988491. The reversal of 395988480 is 84889593.

It is a happy number.

395988480 is a `hidden beast` number, since 3 + 9 + 598 + 8 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1174872 + ... + 1175208.

It is an arithmetic number, because the mean of its divisors is an integer number (4667949).

Almost surely, 2^395988480 is an apocalyptic number.

395988480 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 395988480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746871840).

395988480 is an abundant number, since it is smaller than the sum of its proper divisors (1097755200).

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

395988480 is a wasteful number, since it uses less digits than its factorization.

395988480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 395988480 is about 19899.4592891365. The cubic root of 395988480 is about 734.3349252434.

The spelling of 395988480 in words is "three hundred ninety-five million, nine hundred eighty-eight thousand, four hundred eighty".