395384640 has 224 divisors, whose sum is σ = 1519513344. Its totient is φ = 85032960.

The previous prime is 395384617. The next prime is 395384653. The reversal of 395384640 is 46483593.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 395384592 and 395384601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112510 + ... + 115970.

Almost surely, 2^395384640 is an apocalyptic number.

395384640 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 395384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759756672).

395384640 is an abundant number, since it is smaller than the sum of its proper divisors (1124128704).

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

395384640 is a wasteful number, since it uses less digits than its factorization.

395384640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3505 (or 3495 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 395384640 is about 19884.2812291518. The cubic root of 395384640 is about 733.9614746638.

The spelling of 395384640 in words is "three hundred ninety-five million, three hundred eighty-four thousand, six hundred forty".