1463334400 has 240 divisors, whose sum is σ = 4170893760. Its totient is φ = 503193600.

The previous prime is 1463334391. The next prime is 1463334409. The reversal of 1463334400 is 44333641.

It is an interprime number because it is at equal distance from previous prime (1463334391) and next prime (1463334409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1463334409) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2674927 + ... + 2675473.

It is an arithmetic number, because the mean of its divisors is an integer number (17378724).

Almost surely, 2^1463334400 is an apocalyptic number.

1463334400 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 1463334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2085446880).

1463334400 is an abundant number, since it is smaller than the sum of its proper divisors (2707559360).

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

1463334400 is a wasteful number, since it uses less digits than its factorization.

1463334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The square root of 1463334400 is about 38253.5540832483. The cubic root of 1463334400 is about 1135.3101677102.

The spelling of 1463334400 in words is "one billion, four hundred sixty-three million, three hundred thirty-four thousand, four hundred".