1295465820 has 96 divisors (see below), whose sum is σ = 4084770816. Its totient is φ = 303916800.

The previous prime is 1295465797. The next prime is 1295465827. The reversal of 1295465820 is 285645921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1295465827) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11199 + ... + 52118.

It is an arithmetic number, because the mean of its divisors is an integer number (42549696).

Almost surely, 2^1295465820 is an apocalyptic number.

1295465820 is a gapful number since it is divisible by the number (10) 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 1295465820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2042385408).

1295465820 is an abundant number, since it is smaller than the sum of its proper divisors (2789304996).

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

1295465820 is a wasteful number, since it uses less digits than its factorization.

1295465820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63371 (or 63369 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 1295465820 is about 35992.5800686753. The cubic root of 1295465820 is about 1090.1225404414.

The spelling of 1295465820 in words is "one billion, two hundred ninety-five million, four hundred sixty-five thousand, eight hundred twenty".