463478400 has 864 divisors, whose sum is σ = 2186839200. Its totient is φ = 91238400.

The previous prime is 463478399. The next prime is 463478401. The reversal of 463478400 is 4874364.

It is an interprime number because it is at equal distance from previous prime (463478399) and next prime (463478401).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (463478401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 24393591 + ... + 24393609.

Almost surely, 2^463478400 is an apocalyptic number.

463478400 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 463478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093419600).

463478400 is an abundant number, since it is smaller than the sum of its proper divisors (1723360800).

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

463478400 is a wasteful number, since it uses less digits than its factorization.

463478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 463478400 is about 21528.5484879961. The cubic root of 463478400 is about 773.8851260721.

The spelling of 463478400 in words is "four hundred sixty-three million, four hundred seventy-eight thousand, four hundred".