1744978464 has 180 divisors, whose sum is σ = 5461254414. Its totient is φ = 544693248.

The previous prime is 1744978463. The next prime is 1744978489. The reversal of 1744978464 is 4648794471.

1744978464 is a `hidden beast` number, since 1 + 74 + 49 + 78 + 464 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1283072400 + 461906064 = 35820^2 + 21492^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1744978464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1744978463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8768637 + ... + 8768835.

Almost surely, 2^1744978464 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 1744978464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2730627207).

1744978464 is an abundant number, since it is smaller than the sum of its proper divisors (3716275950).

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

1744978464 is an equidigital number, since it uses as much as digits as its factorization.

1744978464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 221 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The square root of 1744978464 is about 41772.9393746717. The cubic root of 1744978464 is about 1203.9173977466.

The spelling of 1744978464 in words is "one billion, seven hundred forty-four million, nine hundred seventy-eight thousand, four hundred sixty-four".