1290770400 has 144 divisors (see below), whose sum is σ = 4291225344. Its totient is φ = 336852480.

The previous prime is 1290770399. The next prime is 1290770449. The reversal of 1290770400 is 40770921.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107079 + ... + 118521.

It is an arithmetic number, because the mean of its divisors is an integer number (29800176).

Almost surely, 2^1290770400 is an apocalyptic number.

1290770400 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 1290770400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2145612672).

1290770400 is an abundant number, since it is smaller than the sum of its proper divisors (3000454944).

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

1290770400 is a wasteful number, since it uses less digits than its factorization.

1290770400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11513 (or 11500 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 1290770400 is about 35927.2932462216. The cubic root of 1290770400 is about 1088.8038951353.

The spelling of 1290770400 in words is "one billion, two hundred ninety million, seven hundred seventy thousand, four hundred".