1463775552 has 84 divisors (see below), whose sum is σ = 4206054580. Its totient is φ = 486715392.

The previous prime is 1463775461. The next prime is 1463775559. The reversal of 1463775552 is 2555773641.

It is a happy number.

1463775552 is a `hidden beast` number, since 1 + 4 + 637 + 7 + 5 + 5 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 152176896 + 1311598656 = 12336^2 + 36216^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1463775498 and 1463775507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1463775559) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 246474 + ... + 252342.

Almost surely, 2^1463775552 is an apocalyptic number.

1463775552 is a gapful number since it is divisible by the number (12) 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 1463775552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2103027290).

1463775552 is an abundant number, since it is smaller than the sum of its proper divisors (2742279028).

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

1463775552 is a wasteful number, since it uses less digits than its factorization.

1463775552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6320 (or 6307 counting only the distinct ones).

The product of its digits is 882000, while the sum is 45.

The square root of 1463775552 is about 38259.3198057676. The cubic root of 1463775552 is about 1135.4242437158.

The spelling of 1463775552 in words is "one billion, four hundred sixty-three million, seven hundred seventy-five thousand, five hundred fifty-two".