465574480 has 240 divisors, whose sum is σ = 1360627200. Its totient is φ = 148006656.

The previous prime is 465574471. The next prime is 465574481. The reversal of 465574480 is 84475564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465574481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9905817 + ... + 9905863.

It is an arithmetic number, because the mean of its divisors is an integer number (5669280).

Almost surely, 2^465574480 is an apocalyptic number.

465574480 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 465574480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680313600).

465574480 is an abundant number, since it is smaller than the sum of its proper divisors (895052720).

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

465574480 is a wasteful number, since it uses less digits than its factorization.

465574480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 43.

The square root of 465574480 is about 21577.1749772763. The cubic root of 465574480 is about 775.0500030172.

It can be divided in two parts, 4655 and 74480, that multiplied together give a square (346704400 = 18620²).

The spelling of 465574480 in words is "four hundred sixty-five million, five hundred seventy-four thousand, four hundred eighty".