395361120 has 384 divisors, whose sum is σ = 1637314560. Its totient is φ = 77690880.

The previous prime is 395361107. The next prime is 395361137. The reversal of 395361120 is 21163593.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 701959 + ... + 702521.

It is an arithmetic number, because the mean of its divisors is an integer number (4263840).

Almost surely, 2^395361120 is an apocalyptic number.

395361120 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 395361120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818657280).

395361120 is an abundant number, since it is smaller than the sum of its proper divisors (1241953440).

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

395361120 is a wasteful number, since it uses less digits than its factorization.

395361120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 395361120 is about 19883.6897984252. The cubic root of 395361120 is about 733.9469208054.

The spelling of 395361120 in words is "three hundred ninety-five million, three hundred sixty-one thousand, one hundred twenty".