395469360 has 480 divisors, whose sum is σ = 1637895168. Its totient is φ = 84142080.

The previous prime is 395469359. The next prime is 395469391. The reversal of 395469360 is 63964593.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2367997 + ... + 2368163.

Almost surely, 2^395469360 is an apocalyptic number.

395469360 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 395469360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818947584).

395469360 is an abundant number, since it is smaller than the sum of its proper divisors (1242425808).

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

395469360 is a wasteful number, since it uses less digits than its factorization.

395469360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The square root of 395469360 is about 19886.4114409815. The cubic root of 395469360 is about 734.0138934725.

The spelling of 395469360 in words is "three hundred ninety-five million, four hundred sixty-nine thousand, three hundred sixty".