1293890400 has 648 divisors, whose sum is σ = 5445635832. Its totient is φ = 285696000.

The previous prime is 1293890371. The next prime is 1293890413. The reversal of 1293890400 is 40983921.

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 107 ways as a sum of consecutive naturals, for example, 41738385 + ... + 41738415.

It is an arithmetic number, because the mean of its divisors is an integer number (8403759).

Almost surely, 2^1293890400 is an apocalyptic number.

1293890400 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 1293890400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2722817916).

1293890400 is an abundant number, since it is smaller than the sum of its proper divisors (4151745432).

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

1293890400 is a wasteful number, since it uses less digits than its factorization.

1293890400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1293890400 is about 35970.6880668135. The cubic root of 1293890400 is about 1089.6804607211.

The spelling of 1293890400 in words is "one billion, two hundred ninety-three million, eight hundred ninety thousand, four hundred".