1463055480 has 512 divisors, whose sum is σ = 5515776000. Its totient is φ = 343388160.

The previous prime is 1463055463. The next prime is 1463055491. The reversal of 1463055480 is 845503641.

It is a happy number.

1463055480 is a `hidden beast` number, since 14 + 630 + 5 + 5 + 4 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31128817 + ... + 31128863.

It is an arithmetic number, because the mean of its divisors is an integer number (10773000).

Almost surely, 2^1463055480 is an apocalyptic number.

1463055480 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 1463055480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757888000).

1463055480 is an abundant number, since it is smaller than the sum of its proper divisors (4052720520).

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

1463055480 is a wasteful number, since it uses less digits than its factorization.

1463055480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 1463055480 is about 38249.9082351840. The cubic root of 1463055480 is about 1135.2380308987.

The spelling of 1463055480 in words is "one billion, four hundred sixty-three million, fifty-five thousand, four hundred eighty".