466314420 has 384 divisors, whose sum is σ = 1706987520. Its totient is φ = 93265920.

The previous prime is 466314419. The next prime is 466314487. The reversal of 466314420 is 24413664.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3354711 + ... + 3354849.

It is an arithmetic number, because the mean of its divisors is an integer number (4445280).

Almost surely, 2^466314420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466314420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853493760).

466314420 is an abundant number, since it is smaller than the sum of its proper divisors (1240673100).

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

466314420 is a wasteful number, since it uses less digits than its factorization.

466314420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 466314420 is about 21594.3145295237. The cubic root of 466314420 is about 775.4603827199.

The spelling of 466314420 in words is "four hundred sixty-six million, three hundred fourteen thousand, four hundred twenty".