1463140800 has 336 divisors, whose sum is σ = 5820460800. Its totient is φ = 354585600.

The previous prime is 1463140787. The next prime is 1463140829. The reversal of 1463140800 is 80413641.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 473661 + ... + 476739.

It is an arithmetic number, because the mean of its divisors is an integer number (17322800).

Almost surely, 2^1463140800 is an apocalyptic number.

1463140800 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 1463140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2910230400).

1463140800 is an abundant number, since it is smaller than the sum of its proper divisors (4357320000).

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

1463140800 is a wasteful number, since it uses less digits than its factorization.

1463140800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3121 (or 3100 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1463140800 is about 38251.0235157179. The cubic root of 1463140800 is about 1135.2600981016.

The spelling of 1463140800 in words is "one billion, four hundred sixty-three million, one hundred forty thousand, eight hundred".