395019072 has 336 divisors, whose sum is σ = 1422318720. Its totient is φ = 105283584.

The previous prime is 395019071. The next prime is 395019073. The reversal of 395019072 is 270910593.

It is an interprime number because it is at equal distance from previous prime (395019071) and next prime (395019073).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395019071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3495688 + ... + 3495800.

Almost surely, 2^395019072 is an apocalyptic number.

395019072 is a gapful number since it is divisible by the number (32) 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 395019072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711159360).

395019072 is an abundant number, since it is smaller than the sum of its proper divisors (1027299648).

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

395019072 is a wasteful number, since it uses less digits than its factorization.

395019072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 395019072 is about 19875.0867167920. The cubic root of 395019072 is about 733.7352008562.

The spelling of 395019072 in words is "three hundred ninety-five million, nineteen thousand, seventy-two".