464662020 has 144 divisors (see below), whose sum is σ = 1417215744. Its totient is φ = 113356800.

The previous prime is 464662001. The next prime is 464662039. The reversal of 464662020 is 20266464.

It is an interprime number because it is at equal distance from previous prime (464662001) and next prime (464662039).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1714485 + ... + 1714755.

It is an arithmetic number, because the mean of its divisors is an integer number (9841776).

Almost surely, 2^464662020 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 464662020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708607872).

464662020 is an abundant number, since it is smaller than the sum of its proper divisors (952553724).

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

464662020 is a wasteful number, since it uses less digits than its factorization.

464662020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 339 counting only the distinct ones).

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

The square root of 464662020 is about 21556.0205047221. The cubic root of 464662020 is about 774.5433424898.

It can be divided in two parts, 4646 and 62020, that added together give a palindrome (66666).

The spelling of 464662020 in words is "four hundred sixty-four million, six hundred sixty-two thousand, twenty".