461266410 has 64 divisors (see below), whose sum is σ = 1224751104. Its totient is φ = 110241600.

The previous prime is 461266409. The next prime is 461266411. The reversal of 461266410 is 14662164.

It is an interprime number because it is at equal distance from previous prime (461266409) and next prime (461266411).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (461266411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13587 + ... + 33273.

It is an arithmetic number, because the mean of its divisors is an integer number (19136736).

Almost surely, 2^461266410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461266410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612375552).

461266410 is an abundant number, since it is smaller than the sum of its proper divisors (763484694).

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

461266410 is a wasteful number, since it uses less digits than its factorization.

461266410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19779.

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 461266410 is about 21477.1136328884. The cubic root of 461266410 is about 772.6520181343.

The spelling of 461266410 in words is "four hundred sixty-one million, two hundred sixty-six thousand, four hundred ten".