463431312960 has 448 divisors, whose sum is σ = 1914232172544. Its totient is φ = 92110233600.

The previous prime is 463431312959. The next prime is 463431313019. The reversal of 463431312960 is 69213134364.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1563870 + ... + 1836450.

Almost surely, 2^463431312960 is an apocalyptic number.

463431312960 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 463431312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957116086272).

463431312960 is an abundant number, since it is smaller than the sum of its proper divisors (1450800859584).

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

463431312960 is a wasteful number, since it uses less digits than its factorization.

463431312960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272642 (or 272632 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 42.

The spelling of 463431312960 in words is "four hundred sixty-three billion, four hundred thirty-one million, three hundred twelve thousand, nine hundred sixty".