461262516 has 288 divisors, whose sum is σ = 1416683520. Its totient is φ = 115315200.

The previous prime is 461262511. The next prime is 461262533. The reversal of 461262516 is 615262164.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461262511) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14879421 + ... + 14879451.

It is an arithmetic number, because the mean of its divisors is an integer number (4919040).

Almost surely, 2^461262516 is an apocalyptic number.

461262516 is a gapful number since it is divisible by the number (46) 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 461262516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708341760).

461262516 is an abundant number, since it is smaller than the sum of its proper divisors (955421004).

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

461262516 is a wasteful number, since it uses less digits than its factorization.

461262516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 112 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 461262516 is about 21477.0229780573. The cubic root of 461262516 is about 772.6498438915.

The spelling of 461262516 in words is "four hundred sixty-one million, two hundred sixty-two thousand, five hundred sixteen".