463228920 has 384 divisors, whose sum is σ = 1989411840. Its totient is φ = 90501120.

The previous prime is 463228907. The next prime is 463228933. The reversal of 463228920 is 29822364.

It is an interprime number because it is at equal distance from previous prime (463228907) and next prime (463228933).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 470749 + ... + 471731.

It is an arithmetic number, because the mean of its divisors is an integer number (5180760).

Almost surely, 2^463228920 is an apocalyptic number.

463228920 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 463228920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994705920).

463228920 is an abundant number, since it is smaller than the sum of its proper divisors (1526182920).

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

463228920 is a wasteful number, since it uses less digits than its factorization.

463228920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 463228920 is about 21522.7535413106. The cubic root of 463228920 is about 773.7462461638.

The spelling of 463228920 in words is "four hundred sixty-three million, two hundred twenty-eight thousand, nine hundred twenty".