1463400312 has 128 divisors (see below), whose sum is σ = 4092664320. Its totient is φ = 432320000.

The previous prime is 1463400251. The next prime is 1463400313. The reversal of 1463400312 is 2130043641.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1463400313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1892758 + ... + 1893530.

It is an arithmetic number, because the mean of its divisors is an integer number (31973940).

Almost surely, 2^1463400312 is an apocalyptic number.

1463400312 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 1463400312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2046332160).

1463400312 is an abundant number, since it is smaller than the sum of its proper divisors (2629264008).

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

1463400312 is a wasteful number, since it uses less digits than its factorization.

1463400312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1463400312 is about 38254.4155882690. The cubic root of 1463400312 is about 1135.3272131284.

Adding to 1463400312 its reverse (2130043641), we get a palindrome (3593443953).

The spelling of 1463400312 in words is "one billion, four hundred sixty-three million, four hundred thousand, three hundred twelve".