462768096 has 192 divisors, whose sum is σ = 1470873600. Its totient is φ = 124540416.

The previous prime is 462768079. The next prime is 462768149. The reversal of 462768096 is 690867264.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1220835 + ... + 1221213.

It is an arithmetic number, because the mean of its divisors is an integer number (7660800).

Almost surely, 2^462768096 is an apocalyptic number.

462768096 is a gapful number since it is divisible by the number (46) 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 462768096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735436800).

462768096 is an abundant number, since it is smaller than the sum of its proper divisors (1008105504).

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

462768096 is a wasteful number, since it uses less digits than its factorization.

462768096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 462768096 is about 21512.0453699782. The cubic root of 462768096 is about 773.4895846251.

The spelling of 462768096 in words is "four hundred sixty-two million, seven hundred sixty-eight thousand, ninety-six".