461002240 has 160 divisors (see below), whose sum is σ = 1179281664. Its totient is φ = 172523520.

The previous prime is 461002229. The next prime is 461002259. The reversal of 461002240 is 42200164.

It is a tau number, because it is divible by the number of its divisors (160).

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 15 ways as a sum of consecutive naturals, for example, 2936242 + ... + 2936398.

Almost surely, 2^461002240 is an apocalyptic number.

461002240 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 461002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589640832).

461002240 is an abundant number, since it is smaller than the sum of its proper divisors (718279424).

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

461002240 is a wasteful number, since it uses less digits than its factorization.

461002240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 461002240 is about 21470.9627171210. The cubic root of 461002240 is about 772.5044891742.

The spelling of 461002240 in words is "four hundred sixty-one million, two thousand, two hundred forty".