463295472000 has 512 divisors, whose sum is σ = 1572939388800. Its totient is φ = 120585420800.

The previous prime is 463295471987. The next prime is 463295472019. The reversal of 463295472000 is 274592364.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 684335662 + ... + 684336338.

Almost surely, 2^463295472000 is an apocalyptic number.

463295472000 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 463295472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786469694400).

463295472000 is an abundant number, since it is smaller than the sum of its proper divisors (1109643916800).

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

463295472000 is a wasteful number, since it uses less digits than its factorization.

463295472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 463295472000 in words is "four hundred sixty-three billion, two hundred ninety-five million, four hundred seventy-two thousand".