1293628464 has 120 divisors (see below), whose sum is σ = 3896616672. Its totient is φ = 399144960.

The previous prime is 1293628463. The next prime is 1293628487. The reversal of 1293628464 is 4648263921.

1293628464 is a `hidden beast` number, since 12 + 9 + 3 + 628 + 4 + 6 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1293628463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144997 + ... + 153659.

Almost surely, 2^1293628464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1293628464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1948308336).

1293628464 is an abundant number, since it is smaller than the sum of its proper divisors (2602988208).

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

1293628464 is a wasteful number, since it uses less digits than its factorization.

1293628464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8755 (or 8746 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 1293628464 is about 35967.0469179776. The cubic root of 1293628464 is about 1089.6069238888.

The spelling of 1293628464 in words is "one billion, two hundred ninety-three million, six hundred twenty-eight thousand, four hundred sixty-four".