1295870400 has 588 divisors, whose sum is σ = 5267044584. Its totient is φ = 311040000.

The previous prime is 1295870363. The next prime is 1295870419. The reversal of 1295870400 is 40785921.

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 83 ways as a sum of consecutive naturals, for example, 12830350 + ... + 12830450.

Almost surely, 2^1295870400 is an apocalyptic number.

1295870400 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 1295870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2633522292).

1295870400 is an abundant number, since it is smaller than the sum of its proper divisors (3971174184).

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

1295870400 is a wasteful number, since it uses less digits than its factorization.

1295870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1295870400 is about 35998.1999549977. The cubic root of 1295870400 is about 1090.2360120759.

The spelling of 1295870400 in words is "one billion, two hundred ninety-five million, eight hundred seventy thousand, four hundred".