1463312000 has 64 divisors (see below), whose sum is σ = 3638199240. Its totient is φ = 585318400.

The previous prime is 1463311931. The next prime is 1463312021. The reversal of 1463312000 is 2133641.

It can be written as a sum of positive squares in 4 ways, for example, as 225961024 + 1237350976 = 15032^2 + 35176^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29729 + ... + 61728.

Almost surely, 2^1463312000 is an apocalyptic number.

1463312000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1463312000 is an abundant number, since it is smaller than the sum of its proper divisors (2174887240).

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

1463312000 is an frugal number, since it uses more digits than its factorization.

1463312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91486 (or 91464 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 1463312000 is about 38253.2612988749. The cubic root of 1463312000 is about 1135.3043747583.

Adding to 1463312000 its reverse (2133641), we get a palindrome (1465445641).

The spelling of 1463312000 in words is "one billion, four hundred sixty-three million, three hundred twelve thousand".