463694400 has 252 divisors, whose sum is σ = 1775571252. Its totient is φ = 114094080.

The previous prime is 463694389. The next prime is 463694417. The reversal of 463694400 is 4496364.

It can be written as a sum of positive squares in 6 ways, for example, as 50466816 + 413227584 = 7104^2 + 20328^2 .

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

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 185962 + ... + 188438.

Almost surely, 2^463694400 is an apocalyptic number.

463694400 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 463694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887785626).

463694400 is an abundant number, since it is smaller than the sum of its proper divisors (1311876852).

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

463694400 is a wasteful number, since it uses less digits than its factorization.

463694400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2518 (or 2500 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 463694400 is about 21533.5644982432. The cubic root of 463694400 is about 774.0053281688.

The spelling of 463694400 in words is "four hundred sixty-three million, six hundred ninety-four thousand, four hundred".