463768920 has 48 divisors (see below), whose sum is σ = 1507250160. Its totient is φ = 123671616.

The previous prime is 463768919. The next prime is 463768937. The reversal of 463768920 is 29867364.

463768920 is a `hidden beast` number, since 4 + 637 + 6 + 8 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×463768920² = 430163222315932800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 643764 + ... + 644483.

It is an arithmetic number, because the mean of its divisors is an integer number (31401045).

Almost surely, 2^463768920 is an apocalyptic number.

463768920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

463768920 is an abundant number, since it is smaller than the sum of its proper divisors (1043481240).

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

463768920 is a wasteful number, since it uses less digits than its factorization.

463768920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288264 (or 1288257 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 463768920 is about 21535.2947507110. The cubic root of 463768920 is about 774.0467892312.

The spelling of 463768920 in words is "four hundred sixty-three million, seven hundred sixty-eight thousand, nine hundred twenty".