463820918400 has 576 divisors, whose sum is σ = 1897341151680. Its totient is φ = 105686138880.

The previous prime is 463820918387. The next prime is 463820918437. The reversal of 463820918400 is 4819028364.

It is a happy number.

463820918400 is a `hidden beast` number, since 4 + 6 + 38 + 209 + 1 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

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, 67935787 + ... + 67942613.

It is an arithmetic number, because the mean of its divisors is an integer number (3293995055).

Almost surely, 2^463820918400 is an apocalyptic number.

463820918400 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 463820918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948670575840).

463820918400 is an abundant number, since it is smaller than the sum of its proper divisors (1433520233280).

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

463820918400 is a wasteful number, since it uses less digits than its factorization.

463820918400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7201 (or 7181 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 463820918400 in words is "four hundred sixty-three billion, eight hundred twenty million, nine hundred eighteen thousand, four hundred".