465959424 has 240 divisors, whose sum is σ = 1489029696. Its totient is φ = 129024000.

The previous prime is 465959423. The next prime is 465959441. The reversal of 465959424 is 424959564.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (465959423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3085749 + ... + 3085899.

Almost surely, 2^465959424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465959424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744514848).

465959424 is an abundant number, since it is smaller than the sum of its proper divisors (1023070272).

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

465959424 is a wasteful number, since it uses less digits than its factorization.

465959424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 204 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 48.

The square root of 465959424 is about 21586.0933010121. The cubic root of 465959424 is about 775.2635518491.

The spelling of 465959424 in words is "four hundred sixty-five million, nine hundred fifty-nine thousand, four hundred twenty-four".