395477280 has 144 divisors (see below), whose sum is σ = 1472313024. Its totient is φ = 95869440.

The previous prime is 395477237. The next prime is 395477293. The reversal of 395477280 is 82774593.

395477280 is a `hidden beast` number, since 39 + 547 + 72 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 3357 + ... + 28323.

It is an arithmetic number, because the mean of its divisors is an integer number (10224396).

Almost surely, 2^395477280 is an apocalyptic number.

395477280 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 395477280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736156512).

395477280 is an abundant number, since it is smaller than the sum of its proper divisors (1076835744).

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

395477280 is a wasteful number, since it uses less digits than its factorization.

395477280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24999 (or 24988 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 395477280 is about 19886.6105709344. The cubic root of 395477280 is about 734.0187934317.

The spelling of 395477280 in words is "three hundred ninety-five million, four hundred seventy-seven thousand, two hundred eighty".