461946240 has 640 divisors, whose sum is σ = 2014214400. Its totient is φ = 98537472.

The previous prime is 461946227. The next prime is 461946257. The reversal of 461946240 is 42649164.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a junction number, because it is equal to n+sod(n) for n = 461946195 and 461946204.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 6894687 + ... + 6894753.

It is an arithmetic number, because the mean of its divisors is an integer number (3147210).

Almost surely, 2^461946240 is an apocalyptic number.

461946240 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 461946240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007107200).

461946240 is an abundant number, since it is smaller than the sum of its proper divisors (1552268160).

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

461946240 is a wasteful number, since it uses less digits than its factorization.

461946240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 461946240 is about 21492.9346530435. The cubic root of 461946240 is about 773.0314186764.

The spelling of 461946240 in words is "four hundred sixty-one million, nine hundred forty-six thousand, two hundred forty".