464027520 has 256 divisors, whose sum is σ = 1635655680. Its totient is φ = 110960640.

The previous prime is 464027483. The next prime is 464027527. The reversal of 464027520 is 25720464.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464027527) 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, 2682154 + ... + 2682326.

It is an arithmetic number, because the mean of its divisors is an integer number (6389280).

Almost surely, 2^464027520 is an apocalyptic number.

464027520 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 464027520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817827840).

464027520 is an abundant number, since it is smaller than the sum of its proper divisors (1171628160).

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

464027520 is a wasteful number, since it uses less digits than its factorization.

464027520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 464027520 is about 21541.2980110299. The cubic root of 464027520 is about 774.1906333582.

Adding to 464027520 its reverse (25720464), we get a palindrome (489747984).

The spelling of 464027520 in words is "four hundred sixty-four million, twenty-seven thousand, five hundred twenty".