395518464 has 360 divisors, whose sum is σ = 1371818448. Its totient is φ = 112803840.

The previous prime is 395518463. The next prime is 395518483. The reversal of 395518464 is 464815593.

395518464 is a `hidden beast` number, since 3 + 95 + 518 + 46 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (395518463) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23265784 + ... + 23265800.

Almost surely, 2^395518464 is an apocalyptic number.

395518464 is a gapful number since it is divisible by the number (34) 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 395518464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685909224).

395518464 is an abundant number, since it is smaller than the sum of its proper divisors (976299984).

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

395518464 is an equidigital number, since it uses as much as digits as its factorization.

395518464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 33 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 395518464 is about 19887.6460145488. The cubic root of 395518464 is about 734.0442721652.

The spelling of 395518464 in words is "three hundred ninety-five million, five hundred eighteen thousand, four hundred sixty-four".