395887500 has 360 divisors, whose sum is σ = 1429221024. Its totient is φ = 95040000.

The previous prime is 395887469. The next prime is 395887501. The reversal of 395887500 is 5788593.

395887500 = 76³ + 77³ + ... + 200³.

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

It is not an unprimeable number, because it can be changed into a prime (395887501) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 17212489 + ... + 17212511.

Almost surely, 2^395887500 is an apocalyptic number.

395887500 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 395887500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714610512).

395887500 is an abundant number, since it is smaller than the sum of its proper divisors (1033333524).

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

395887500 is a wasteful number, since it uses less digits than its factorization.

395887500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 395887500 is about 19896.9218724907. The cubic root of 395887500 is about 734.2724996522.

The spelling of 395887500 in words is "three hundred ninety-five million, eight hundred eighty-seven thousand, five hundred".