464489640 has 224 divisors, whose sum is σ = 1660879080. Its totient is φ = 116453376.

The previous prime is 464489629. The next prime is 464489651. The reversal of 464489640 is 46984464.

It is an interprime number because it is at equal distance from previous prime (464489629) and next prime (464489651).

It can be written as a sum of positive squares in 4 ways, for example, as 319479876 + 145009764 = 17874^2 + 12042^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 495252 + ... + 496188.

Almost surely, 2^464489640 is an apocalyptic number.

464489640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464489640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830439540).

464489640 is an abundant number, since it is smaller than the sum of its proper divisors (1196389440).

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

464489640 is a wasteful number, since it uses less digits than its factorization.

464489640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 464489640 is about 21552.0217149111. The cubic root of 464489640 is about 774.4475507892.

The spelling of 464489640 in words is "four hundred sixty-four million, four hundred eighty-nine thousand, six hundred forty".