1014463440 has 200 divisors, whose sum is σ = 3731044680. Its totient is φ = 254582784.

The previous prime is 1014463399. The next prime is 1014463441. The reversal of 1014463440 is 443644101.

1014463440 is a `hidden beast` number, since 10 + 14 + 4 + 634 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 75898944 + 938564496 = 8712^2 + 30636^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014463441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 105556 + ... + 114764.

Almost surely, 2^1014463440 is an apocalyptic number.

1014463440 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 1014463440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1865522340).

1014463440 is an abundant number, since it is smaller than the sum of its proper divisors (2716581240).

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

1014463440 is a wasteful number, since it uses less digits than its factorization.

1014463440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9251 (or 9236 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1014463440 is about 31850.6426936726. The cubic root of 1014463440 is about 1004.7980881964.

The spelling of 1014463440 in words is "one billion, fourteen million, four hundred sixty-three thousand, four hundred forty".