461515002 has 64 divisors (see below), whose sum is σ = 1010795520. Its totient is φ = 140467392.

The previous prime is 461514967. The next prime is 461515013. The reversal of 461515002 is 200515164.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2069463 + ... + 2069685.

It is an arithmetic number, because the mean of its divisors is an integer number (15793680).

Almost surely, 2^461515002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461515002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505397760).

461515002 is an abundant number, since it is smaller than the sum of its proper divisors (549280518).

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

461515002 is a wasteful number, since it uses less digits than its factorization.

461515002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 461515002 is about 21482.9002232008. The cubic root of 461515002 is about 772.7907959363.

The spelling of 461515002 in words is "four hundred sixty-one million, five hundred fifteen thousand, two".