466401434226 has 128 divisors (see below), whose sum is σ = 1184021938176. Its totient is φ = 119199548160.

The previous prime is 466401434203. The next prime is 466401434249. The reversal of 466401434226 is 622434104664.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (466401434203) and next prime (466401434249).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2903496 + ... + 3059916.

It is an arithmetic number, because the mean of its divisors is an integer number (9250171392).

Almost surely, 2^466401434226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466401434226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592010969088).

466401434226 is an abundant number, since it is smaller than the sum of its proper divisors (717620503950).

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

466401434226 is a wasteful number, since it uses less digits than its factorization.

466401434226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156616.

The product of its (nonzero) digits is 663552, while the sum is 42.

The spelling of 466401434226 in words is "four hundred sixty-six billion, four hundred one million, four hundred thirty-four thousand, two hundred twenty-six".