463040400 has 120 divisors (see below), whose sum is σ = 1501466400. Its totient is φ = 121963520.

The previous prime is 463040377. The next prime is 463040411. The reversal of 463040400 is 4040364.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97276 + ... + 101924.

It is an arithmetic number, because the mean of its divisors is an integer number (12512220).

Almost surely, 2^463040400 is an apocalyptic number.

463040400 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 463040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750733200).

463040400 is an abundant number, since it is smaller than the sum of its proper divisors (1038426000).

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

463040400 is a wasteful number, since it uses less digits than its factorization.

463040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4753 (or 4742 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 463040400 is about 21518.3735444852. The cubic root of 463040400 is about 773.6412682373.

Adding to 463040400 its reverse (4040364), we get a palindrome (467080764).

The spelling of 463040400 in words is "four hundred sixty-three million, forty thousand, four hundred".