395001600 has 216 divisors, whose sum is σ = 1490321280. Its totient is φ = 90255360.

The previous prime is 395001571. The next prime is 395001617. The reversal of 395001600 is 6100593.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132931 + ... + 135869.

Almost surely, 2^395001600 is an apocalyptic number.

395001600 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 395001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745160640).

395001600 is an abundant number, since it is smaller than the sum of its proper divisors (1095319680).

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

395001600 is a wasteful number, since it uses less digits than its factorization.

395001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2975 (or 2956 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 395001600 is about 19874.6471666795. The cubic root of 395001600 is about 733.7243828043.

The spelling of 395001600 in words is "three hundred ninety-five million, one thousand, six hundred".