463736400 has 120 divisors (see below), whose sum is σ = 1490856960. Its totient is φ = 123217920.

The previous prime is 463736393. The next prime is 463736407. The reversal of 463736400 is 4637364.

It is an interprime number because it is at equal distance from previous prime (463736393) and next prime (463736407).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463736407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 459096 + ... + 460104.

It is an arithmetic number, because the mean of its divisors is an integer number (12423808).

Almost surely, 2^463736400 is an apocalyptic number.

463736400 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 463736400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745428480).

463736400 is an abundant number, since it is smaller than the sum of its proper divisors (1027120560).

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

463736400 is a wasteful number, since it uses less digits than its factorization.

463736400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 33.

The square root of 463736400 is about 21534.5396978900. The cubic root of 463736400 is about 774.0286964636.

463736400 divided by its reverse (4637364) gives a square (100 = 10²).

The spelling of 463736400 in words is "four hundred sixty-three million, seven hundred thirty-six thousand, four hundred".