395889120 has 240 divisors, whose sum is σ = 1524721968. Its totient is φ = 95938560.

The previous prime is 395889083. The next prime is 395889157. The reversal of 395889120 is 21988593.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (395889083) and next prime (395889157).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 141172 + ... + 143948.

Almost surely, 2^395889120 is an apocalyptic number.

395889120 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 395889120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762360984).

395889120 is an abundant number, since it is smaller than the sum of its proper divisors (1128832848).

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

395889120 is a wasteful number, since it uses less digits than its factorization.

395889120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2815 (or 2798 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 395889120 is about 19896.9625822637. The cubic root of 395889120 is about 734.2735012161.

The spelling of 395889120 in words is "three hundred ninety-five million, eight hundred eighty-nine thousand, one hundred twenty".