1463945364 has 216 divisors, whose sum is σ = 4680748800. Its totient is φ = 383201280.

The previous prime is 1463945341. The next prime is 1463945369. The reversal of 1463945364 is 4635493641.

1463945364 is a `hidden beast` number, since 1 + 4 + 639 + 4 + 5 + 3 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1463945369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1038292 + ... + 1039700.

Almost surely, 2^1463945364 is an apocalyptic number.

1463945364 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 1463945364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2340374400).

1463945364 is an abundant number, since it is smaller than the sum of its proper divisors (3216803436).

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

1463945364 is a wasteful number, since it uses less digits than its factorization.

1463945364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483 (or 1471 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The square root of 1463945364 is about 38261.5389653893. The cubic root of 1463945364 is about 1135.4681487180.

The spelling of 1463945364 in words is "one billion, four hundred sixty-three million, nine hundred forty-five thousand, three hundred sixty-four".