1294792464 has 240 divisors, whose sum is σ = 4132235520. Its totient is φ = 347719680.

The previous prime is 1294792463. The next prime is 1294792501. The reversal of 1294792464 is 4642974921.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1294792463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2796297 + ... + 2796759.

It is an arithmetic number, because the mean of its divisors is an integer number (17217648).

Almost surely, 2^1294792464 is an apocalyptic number.

1294792464 is a gapful number since it is divisible by the number (14) 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 1294792464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2066117760).

1294792464 is an abundant number, since it is smaller than the sum of its proper divisors (2837443056).

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

1294792464 is a wasteful number, since it uses less digits than its factorization.

1294792464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 545 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 1294792464 is about 35983.2247582120. The cubic root of 1294792464 is about 1089.9336334196.

The spelling of 1294792464 in words is "one billion, two hundred ninety-four million, seven hundred ninety-two thousand, four hundred sixty-four".