463005781600 has 72 divisors (see below), whose sum is σ = 1132071995880. Its totient is φ = 184914078720.

The previous prime is 463005781577. The next prime is 463005781727. The reversal of 463005781600 is 6187500364.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64356 + ... + 964444.

It is an arithmetic number, because the mean of its divisors is an integer number (15723222165).

Almost surely, 2^463005781600 is an apocalyptic number.

463005781600 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 463005781600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566035997940).

463005781600 is an abundant number, since it is smaller than the sum of its proper divisors (669066214280).

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

463005781600 is a wasteful number, since it uses less digits than its factorization.

463005781600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900752 (or 900739 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 463005781600 in words is "four hundred sixty-three billion, five million, seven hundred eighty-one thousand, six hundred".