463446400 has 96 divisors (see below), whose sum is σ = 1151410680. Its totient is φ = 184320000.

The previous prime is 463446397. The next prime is 463446409. The reversal of 463446400 is 4644364.

463446400 = T₂₅₅ + T₂₅₆ + ... + T₁₄₀₈.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463446409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 802912 + ... + 803488.

Almost surely, 2^463446400 is an apocalyptic number.

463446400 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 463446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575705340).

463446400 is an abundant number, since it is smaller than the sum of its proper divisors (687964280).

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

463446400 is a wasteful number, since it uses less digits than its factorization.

463446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

The square root of 463446400 is about 21527.8052759681. The cubic root of 463446400 is about 773.8673151781.

The spelling of 463446400 in words is "four hundred sixty-three million, four hundred forty-six thousand, four hundred".