464449020 has 96 divisors (see below), whose sum is σ = 1520859648. Its totient is φ = 103686912.

The previous prime is 464449009. The next prime is 464449067. The reversal of 464449020 is 20944464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5202 + ... + 30918.

It is an arithmetic number, because the mean of its divisors is an integer number (15842288).

Almost surely, 2^464449020 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 464449020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760429824).

464449020 is an abundant number, since it is smaller than the sum of its proper divisors (1056410628).

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

464449020 is a wasteful number, since it uses less digits than its factorization.

464449020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25779 (or 25777 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 464449020 is about 21551.0793233193. The cubic root of 464449020 is about 774.4249747733.

The spelling of 464449020 in words is "four hundred sixty-four million, four hundred forty-nine thousand, twenty".