1395504432 has 480 divisors, whose sum is σ = 5080817664. Its totient is φ = 348364800.

The previous prime is 1395504377. The next prime is 1395504433. The reversal of 1395504432 is 2344055931.

1395504432 = 163³ + 164³ + ... + 281³.

1395504432 is a `hidden beast` number, since 1 + 39 + 550 + 44 + 32 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1395504433) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19654957 + ... + 19655027.

Almost surely, 2^1395504432 is an apocalyptic number.

1395504432 is a gapful number since it is divisible by the number (12) 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 1395504432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540408832).

1395504432 is an abundant number, since it is smaller than the sum of its proper divisors (3685313232).

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

1395504432 is a wasteful number, since it uses less digits than its factorization.

1395504432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 1395504432 is about 37356.4510091631. The cubic root of 1395504432 is about 1117.4902432972.

The spelling of 1395504432 in words is "one billion, three hundred ninety-five million, five hundred four thousand, four hundred thirty-two".