461043648 has 168 divisors, whose sum is σ = 1485583008. Its totient is φ = 135641088.

The previous prime is 461043637. The next prime is 461043701. The reversal of 461043648 is 846340164.

461043648 is a `hidden beast` number, since 4 + 6 + 1 + 0 + 4 + 3 + 648 = 666.

It is a super-2 number, since 2×461043648² = 425122490722295808, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 170886 + ... + 173562.

It is an arithmetic number, because the mean of its divisors is an integer number (8842756).

Almost surely, 2^461043648 is an apocalyptic number.

461043648 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 461043648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742791504).

461043648 is an abundant number, since it is smaller than the sum of its proper divisors (1024539360).

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

461043648 is a wasteful number, since it uses less digits than its factorization.

461043648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2731 (or 2718 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 461043648 is about 21471.9269745405. The cubic root of 461043648 is about 772.5276177012.

The spelling of 461043648 in words is "four hundred sixty-one million, forty-three thousand, six hundred forty-eight".