464241440 has 192 divisors, whose sum is σ = 1318343040. Its totient is φ = 152616960.

The previous prime is 464241439. The next prime is 464241443. The reversal of 464241440 is 44142464.

It is a super-2 number, since 2×464241440² = 431040229226547200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (464241443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 671495 + ... + 672185.

It is an arithmetic number, because the mean of its divisors is an integer number (6866370).

Almost surely, 2^464241440 is an apocalyptic number.

464241440 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 464241440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659171520).

464241440 is an abundant number, since it is smaller than the sum of its proper divisors (854101600).

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

464241440 is a wasteful number, since it uses less digits than its factorization.

464241440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

The square root of 464241440 is about 21546.2627849936. The cubic root of 464241440 is about 774.3095842176.

The spelling of 464241440 in words is "four hundred sixty-four million, two hundred forty-one thousand, four hundred forty".