463436220 has 96 divisors (see below), whose sum is σ = 1471034880. Its totient is φ = 108069120.

The previous prime is 463436219. The next prime is 463436249. The reversal of 463436220 is 22634364.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 816 + ... + 30455.

It is an arithmetic number, because the mean of its divisors is an integer number (15323280).

Almost surely, 2^463436220 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 463436220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735517440).

463436220 is an abundant number, since it is smaller than the sum of its proper divisors (1007598660).

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

463436220 is a wasteful number, since it uses less digits than its factorization.

463436220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31315 (or 31313 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 463436220 is about 21527.5688362620. The cubic root of 463436220 is about 773.8616489155.

The spelling of 463436220 in words is "four hundred sixty-three million, four hundred thirty-six thousand, two hundred twenty".