464103240 has 128 divisors (see below), whose sum is σ = 1449878400. Its totient is φ = 118702080.

The previous prime is 464103209. The next prime is 464103287. The reversal of 464103240 is 42301464.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 464103240.

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, 671295 + ... + 671985.

It is an arithmetic number, because the mean of its divisors is an integer number (11327175).

Almost surely, 2^464103240 is an apocalyptic number.

464103240 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 464103240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724939200).

464103240 is an abundant number, since it is smaller than the sum of its proper divisors (985775160).

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

464103240 is a wasteful number, since it uses less digits than its factorization.

464103240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 464103240 is about 21543.0554935924. The cubic root of 464103240 is about 774.2327418711.

The spelling of 464103240 in words is "four hundred sixty-four million, one hundred three thousand, two hundred forty".