463426416 has 120 divisors (see below), whose sum is σ = 1378840320. Its totient is φ = 144885888.

The previous prime is 463426393. The next prime is 463426459. The reversal of 463426416 is 614624364.

463426416 is a `hidden beast` number, since 4 + 6 + 3 + 4 + 2 + 641 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 291961 + ... + 293543.

It is an arithmetic number, because the mean of its divisors is an integer number (11490336).

Almost surely, 2^463426416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463426416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689420160).

463426416 is an abundant number, since it is smaller than the sum of its proper divisors (915413904).

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

463426416 is a wasteful number, since it uses less digits than its factorization.

463426416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723 (or 1714 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 463426416 is about 21527.3411270412. The cubic root of 463426416 is about 773.8561918589.

The spelling of 463426416 in words is "four hundred sixty-three million, four hundred twenty-six thousand, four hundred sixteen".