1295442432 has 240 divisors, whose sum is σ = 4136520960. Its totient is φ = 388202496.

The previous prime is 1295442431. The next prime is 1295442461. The reversal of 1295442432 is 2342445921.

It is a happy number.

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 (1295442431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1801369 + ... + 1802087.

It is an arithmetic number, because the mean of its divisors is an integer number (17235504).

Almost surely, 2^1295442432 is an apocalyptic number.

1295442432 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 1295442432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068260480).

1295442432 is an abundant number, since it is smaller than the sum of its proper divisors (2841078528).

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

1295442432 is a wasteful number, since it uses less digits than its factorization.

1295442432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 764 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 1295442432 is about 35992.2551669106. The cubic root of 1295442432 is about 1090.1159801398.

The spelling of 1295442432 in words is "one billion, two hundred ninety-five million, four hundred forty-two thousand, four hundred thirty-two".