461792448 has 224 divisors, whose sum is σ = 1490390720. Its totient is φ = 139345920.

The previous prime is 461792417. The next prime is 461792453. The reversal of 461792448 is 844297164.

461792448 is a `hidden beast` number, since 4 + 617 + 9 + 24 + 4 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (387072) is a multiple of the sum of its prime factors (432).

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, 1370136 + ... + 1370472.

It is an arithmetic number, because the mean of its divisors is an integer number (6653530).

Almost surely, 2^461792448 is an apocalyptic number.

461792448 is a gapful number since it is divisible by the number (48) 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 461792448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745195360).

461792448 is an abundant number, since it is smaller than the sum of its proper divisors (1028598272).

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

461792448 is a wasteful number, since it uses less digits than its factorization.

461792448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 416 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 461792448 is about 21489.3566213603. The cubic root of 461792448 is about 772.9456228028.

The spelling of 461792448 in words is "four hundred sixty-one million, seven hundred ninety-two thousand, four hundred forty-eight".