463210272 has 384 divisors, whose sum is σ = 1693440000. Its totient is φ = 120185856.

The previous prime is 463210219. The next prime is 463210283. The reversal of 463210272 is 272012364.

463210272 is a `hidden beast` number, since 4 + 632 + 1 + 0 + 27 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3332379 + ... + 3332517.

It is an arithmetic number, because the mean of its divisors is an integer number (4410000).

Almost surely, 2^463210272 is an apocalyptic number.

463210272 is a gapful number since it is divisible by the number (42) 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 463210272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846720000).

463210272 is an abundant number, since it is smaller than the sum of its proper divisors (1230229728).

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

463210272 is a wasteful number, since it uses less digits than its factorization.

463210272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 463210272 is about 21522.3203210063. The cubic root of 463210272 is about 773.7358632386.

The spelling of 463210272 in words is "four hundred sixty-three million, two hundred ten thousand, two hundred seventy-two".