464740640 has 192 divisors, whose sum is σ = 1376766720. Its totient is φ = 144322560.

The previous prime is 464740571. The next prime is 464740643. The reversal of 464740640 is 46047464.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 464740640.

It is not an unprimeable number, because it can be changed into a prime (464740643) 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, 858770 + ... + 859310.

It is an arithmetic number, because the mean of its divisors is an integer number (7170660).

Almost surely, 2^464740640 is an apocalyptic number.

464740640 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 464740640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688383360).

464740640 is an abundant number, since it is smaller than the sum of its proper divisors (912026080).

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

464740640 is a wasteful number, since it uses less digits than its factorization.

464740640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 35.

The square root of 464740640 is about 21557.8440480490. The cubic root of 464740640 is about 774.5870238187.

The spelling of 464740640 in words is "four hundred sixty-four million, seven hundred forty thousand, six hundred forty".