463121344 has 168 divisors, whose sum is σ = 1154074400. Its totient is φ = 184246272.

The previous prime is 463121339. The next prime is 463121383. The reversal of 463121344 is 443121364.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6344092 + ... + 6344164.

Almost surely, 2^463121344 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 463121344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577037200).

463121344 is an abundant number, since it is smaller than the sum of its proper divisors (690953056).

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

463121344 is an equidigital number, since it uses as much as digits as its factorization.

463121344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 99 counting only the distinct ones).

The product of its digits is 6912, while the sum is 28.

The square root of 463121344 is about 21520.2542735907. The cubic root of 463121344 is about 773.6863456360.

The spelling of 463121344 in words is "four hundred sixty-three million, one hundred twenty-one thousand, three hundred forty-four".