465299520 has 224 divisors, whose sum is σ = 1788127488. Its totient is φ = 100073472.

The previous prime is 465299509. The next prime is 465299543. The reversal of 465299520 is 25992564.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 112204 + ... + 116276.

It is an arithmetic number, because the mean of its divisors is an integer number (7982712).

Almost surely, 2^465299520 is an apocalyptic number.

465299520 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 465299520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894063744).

465299520 is an abundant number, since it is smaller than the sum of its proper divisors (1322827968).

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

465299520 is a wasteful number, since it uses less digits than its factorization.

465299520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4117 (or 4107 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 465299520 is about 21570.8024885492. The cubic root of 465299520 is about 774.8973960594.

The spelling of 465299520 in words is "four hundred sixty-five million, two hundred ninety-nine thousand, five hundred twenty".