463473360 has 480 divisors, whose sum is σ = 1933804800. Its totient is φ = 101606400.

The previous prime is 463473349. The next prime is 463473377. The reversal of 463473360 is 63374364.

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 (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3069285 + ... + 3069435.

It is an arithmetic number, because the mean of its divisors is an integer number (4028760).

Almost surely, 2^463473360 is an apocalyptic number.

463473360 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 463473360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966902400).

463473360 is an abundant number, since it is smaller than the sum of its proper divisors (1470331440).

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

463473360 is a wasteful number, since it uses less digits than its factorization.

463473360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

The square root of 463473360 is about 21528.4314338040. The cubic root of 463473360 is about 773.8823209107.

The spelling of 463473360 in words is "four hundred sixty-three million, four hundred seventy-three thousand, three hundred sixty".