1460742444 has 192 divisors, whose sum is σ = 4507525120. Its totient is φ = 400308480.

The previous prime is 1460742433. The next prime is 1460742449. The reversal of 1460742444 is 4442470641.

1460742444 is a `hidden beast` number, since 1 + 4 + 607 + 4 + 2 + 4 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1460742399 and 1460742408.

It is not an unprimeable number, because it can be changed into a prime (1460742449) 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 63 ways as a sum of consecutive naturals, for example, 3679254 + ... + 3679650.

Almost surely, 2^1460742444 is an apocalyptic number.

1460742444 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 1460742444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2253762560).

1460742444 is an abundant number, since it is smaller than the sum of its proper divisors (3046782676).

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

1460742444 is a wasteful number, since it uses less digits than its factorization.

1460742444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 1460742444 is about 38219.6604380520. The cubic root of 1460742444 is about 1134.6394590572.

The spelling of 1460742444 in words is "one billion, four hundred sixty million, seven hundred forty-two thousand, four hundred forty-four".