461306880 has 352 divisors, whose sum is σ = 1697863680. Its totient is φ = 118702080.

The previous prime is 461306873. The next prime is 461306887. The reversal of 461306880 is 88603164.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (461306873) and next prime (461306887).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461306887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6497245 + ... + 6497315.

Almost surely, 2^461306880 is an apocalyptic number.

461306880 is a gapful number since it is divisible by the number (40) 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 461306880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848931840).

461306880 is an abundant number, since it is smaller than the sum of its proper divisors (1236556800).

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

461306880 is a wasteful number, since it uses less digits than its factorization.

461306880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 461306880 is about 21478.0557779330. The cubic root of 461306880 is about 772.6746141237.

The spelling of 461306880 in words is "four hundred sixty-one million, three hundred six thousand, eight hundred eighty".