463422960 has 480 divisors, whose sum is σ = 2092866048. Its totient is φ = 88750080.

The previous prime is 463422943. The next prime is 463422991. The reversal of 463422960 is 69224364.

463422960 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 720399 + ... + 721041.

Almost surely, 2^463422960 is an apocalyptic number.

463422960 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 463422960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1046433024).

463422960 is an abundant number, since it is smaller than the sum of its proper divisors (1629443088).

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

463422960 is a wasteful number, since it uses less digits than its factorization.

463422960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 463422960 is about 21527.2608568763. The cubic root of 463422960 is about 773.8542681780.

The spelling of 463422960 in words is "four hundred sixty-three million, four hundred twenty-two thousand, nine hundred sixty".