395951040 has 84 divisors (see below), whose sum is σ = 1361916504. Its totient is φ = 105586176.

The previous prime is 395951021. The next prime is 395951047. The reversal of 395951040 is 40159593.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 395950986 and 395951004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395951047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65862 + ... + 71621.

Almost surely, 2^395951040 is an apocalyptic number.

395951040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

395951040 is an abundant number, since it is smaller than the sum of its proper divisors (965965464).

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

395951040 is a wasteful number, since it uses less digits than its factorization.

395951040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137506 (or 137493 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 395951040 is about 19898.5185378208. The cubic root of 395951040 is about 734.3117811643.

The spelling of 395951040 in words is "three hundred ninety-five million, nine hundred fifty-one thousand, forty".