463388270400 has 504 divisors, whose sum is σ = 1803867384384. Its totient is φ = 111889612800.

The previous prime is 463388270399. The next prime is 463388270419. The reversal of 463388270400 is 4072883364.

463388270400 is a `hidden beast` number, since 4 + 6 + 338 + 8 + 270 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40703109 + ... + 40714491.

Almost surely, 2^463388270400 is an apocalyptic number.

463388270400 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 463388270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901933692192).

463388270400 is an abundant number, since it is smaller than the sum of its proper divisors (1340479113984).

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

463388270400 is a wasteful number, since it uses less digits than its factorization.

463388270400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11679 (or 11661 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 463388270400 in words is "four hundred sixty-three billion, three hundred eighty-eight million, two hundred seventy thousand, four hundred".