463740800 has 96 divisors (see below), whose sum is σ = 1151726880. Its totient is φ = 184504320.

The previous prime is 463740751. The next prime is 463740803. The reversal of 463740800 is 8047364.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463740803) 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 11 ways as a sum of consecutive naturals, for example, 1001369 + ... + 1001831.

It is an arithmetic number, because the mean of its divisors is an integer number (11997155).

Almost surely, 2^463740800 is an apocalyptic number.

463740800 is a gapful number since it is divisible by the number (40) 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 463740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575863440).

463740800 is an abundant number, since it is smaller than the sum of its proper divisors (687986080).

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

463740800 is a wasteful number, since it uses less digits than its factorization.

463740800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 463740800 is about 21534.6418591069. The cubic root of 463740800 is about 774.0311444890.

It can be divided in two parts, 463 and 740800, that multiplied together give a square (342990400 = 18520²).

The spelling of 463740800 in words is "four hundred sixty-three million, seven hundred forty thousand, eight hundred".