1463961600 has 360 divisors, whose sum is σ = 5437562130. Its totient is φ = 389283840.

The previous prime is 1463961599. The next prime is 1463961619. The reversal of 1463961600 is 61693641.

1463961600 is a `hidden beast` number, since 1 + 4 + 6 + 39 + 616 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1021953024 + 442008576 = 31968^2 + 21024^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4147024 + ... + 4147376.

Almost surely, 2^1463961600 is an apocalyptic number.

1463961600 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 1463961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2718781065).

1463961600 is an abundant number, since it is smaller than the sum of its proper divisors (3973600530).

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

1463961600 is an equidigital number, since it uses as much as digits as its factorization.

1463961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1463961600 is about 38261.7511360889. The cubic root of 1463961600 is about 1135.4723463684.

The spelling of 1463961600 in words is "one billion, four hundred sixty-three million, nine hundred sixty-one thousand, six hundred".