464470944 has 96 divisors (see below), whose sum is σ = 1397725056. Its totient is φ = 132295680.

The previous prime is 464470939. The next prime is 464470949. The reversal of 464470944 is 449074464.

It is an interprime number because it is at equal distance from previous prime (464470939) and next prime (464470949).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×464470944² = 431466515640502272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 464470896 and 464470905.

It is not an unprimeable number, because it can be changed into a prime (464470949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 265914 + ... + 267654.

It is an arithmetic number, because the mean of its divisors is an integer number (14559636).

Almost surely, 2^464470944 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 464470944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698862528).

464470944 is an abundant number, since it is smaller than the sum of its proper divisors (933254112).

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

464470944 is a wasteful number, since it uses less digits than its factorization.

464470944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2158 (or 2150 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The square root of 464470944 is about 21551.5879693353. The cubic root of 464470944 is about 774.4371599829.

The spelling of 464470944 in words is "four hundred sixty-four million, four hundred seventy thousand, nine hundred forty-four".