1290913200 has 420 divisors, whose sum is σ = 4915745640. Its totient is φ = 324725760.

The previous prime is 1290913153. The next prime is 1290913201. The reversal of 1290913200 is 23190921.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1290913201) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 5540284 + ... + 5540516.

Almost surely, 2^1290913200 is an apocalyptic number.

1290913200 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 1290913200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457872820).

1290913200 is an abundant number, since it is smaller than the sum of its proper divisors (3624832440).

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

1290913200 is a wasteful number, since it uses less digits than its factorization.

1290913200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 1290913200 is about 35929.2805383019. The cubic root of 1290913200 is about 1088.8440456952.

The spelling of 1290913200 in words is "one billion, two hundred ninety million, nine hundred thirteen thousand, two hundred".