461007360 has 480 divisors, whose sum is σ = 1861434432. Its totient is φ = 104202240.

The previous prime is 461007353. The next prime is 461007361. The reversal of 461007360 is 63700164.

461007360 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (461007361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4308427 + ... + 4308533.

Almost surely, 2^461007360 is an apocalyptic number.

461007360 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 461007360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930717216).

461007360 is an abundant number, since it is smaller than the sum of its proper divisors (1400427072).

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

461007360 is a wasteful number, since it uses less digits than its factorization.

461007360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 461007360 is about 21471.0819475871. The cubic root of 461007360 is about 772.5073490362.

The spelling of 461007360 in words is "four hundred sixty-one million, seven thousand, three hundred sixty".