1463561280 has 336 divisors, whose sum is σ = 5392033920. Its totient is φ = 363085824.

The previous prime is 1463561261. The next prime is 1463561293. The reversal of 1463561280 is 821653641.

It is a happy number.

1463561280 is a `hidden beast` number, since 1 + 4 + 6 + 35 + 612 + 8 + 0 = 666.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 8176231 + ... + 8176409.

It is an arithmetic number, because the mean of its divisors is an integer number (16047720).

Almost surely, 2^1463561280 is an apocalyptic number.

1463561280 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 1463561280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2696016960).

1463561280 is an abundant number, since it is smaller than the sum of its proper divisors (3928472640).

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

1463561280 is a wasteful number, since it uses less digits than its factorization.

1463561280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1463561280 is about 38256.5194444032. The cubic root of 1463561280 is about 1135.3688387062.

The spelling of 1463561280 in words is "one billion, four hundred sixty-three million, five hundred sixty-one thousand, two hundred eighty".