1294428960 has 864 divisors, whose sum is σ = 5646775680. Its totient is φ = 267632640.

The previous prime is 1294428923. The next prime is 1294428991. The reversal of 1294428960 is 698244921.

1294428960 is a `hidden beast` number, since 129 + 442 + 89 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 56279509 + ... + 56279531.

It is an arithmetic number, because the mean of its divisors is an integer number (6535620).

Almost surely, 2^1294428960 is an apocalyptic number.

1294428960 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 1294428960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2823387840).

1294428960 is an abundant number, since it is smaller than the sum of its proper divisors (4352346720).

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

1294428960 is a wasteful number, since it uses less digits than its factorization.

1294428960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1294428960 is about 35978.1733833167. The cubic root of 1294428960 is about 1089.8316267715.

The spelling of 1294428960 in words is "one billion, two hundred ninety-four million, four hundred twenty-eight thousand, nine hundred sixty".