395403120 has 400 divisors, whose sum is σ = 1642037760. Its totient is φ = 86220288.

The previous prime is 395403089. The next prime is 395403121. The reversal of 395403120 is 21304593.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395403121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1043091 + ... + 1043469.

Almost surely, 2^395403120 is an apocalyptic number.

395403120 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 395403120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821018880).

395403120 is an abundant number, since it is smaller than the sum of its proper divisors (1246634640).

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

395403120 is a wasteful number, since it uses less digits than its factorization.

395403120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 395403120 is about 19884.7459123822. The cubic root of 395403120 is about 733.9729094333.

The spelling of 395403120 in words is "three hundred ninety-five million, four hundred three thousand, one hundred twenty".