464041480 has 128 divisors (see below), whose sum is σ = 1242593280. Its totient is φ = 152616960.

The previous prime is 464041477. The next prime is 464041483. The reversal of 464041480 is 84140464.

It is an interprime number because it is at equal distance from previous prime (464041477) and next prime (464041483).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (464041483) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1675102 + ... + 1675378.

It is an arithmetic number, because the mean of its divisors is an integer number (9707760).

Almost surely, 2^464041480 is an apocalyptic number.

464041480 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 464041480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621296640).

464041480 is an abundant number, since it is smaller than the sum of its proper divisors (778551800).

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

464041480 is a wasteful number, since it uses less digits than its factorization.

464041480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 464041480 is about 21541.6220373490. The cubic root of 464041480 is about 774.1983969731.

The spelling of 464041480 in words is "four hundred sixty-four million, forty-one thousand, four hundred eighty".