395204832 has 240 divisors, whose sum is σ = 1290909312. Its totient is φ = 117607680.

The previous prime is 395204827. The next prime is 395204867. The reversal of 395204832 is 238402593.

It is a super-2 number, since 2×395204832² = 312373718472296448, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2366413 + ... + 2366579.

Almost surely, 2^395204832 is an apocalyptic number.

395204832 is a gapful number since it is divisible by the number (32) 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 395204832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645454656).

395204832 is an abundant number, since it is smaller than the sum of its proper divisors (895704480).

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

395204832 is a wasteful number, since it uses less digits than its factorization.

395204832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 395204832 is about 19879.7593546803. The cubic root of 395204832 is about 733.8501972374.

The spelling of 395204832 in words is "three hundred ninety-five million, two hundred four thousand, eight hundred thirty-two".