465424400 has 120 divisors (see below), whose sum is σ = 1290107904. Its totient is φ = 158054400.

The previous prime is 465424387. The next prime is 465424423. The reversal of 465424400 is 4424564.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 315665 + ... + 317135.

Almost surely, 2^465424400 is an apocalyptic number.

465424400 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 465424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645053952).

465424400 is an abundant number, since it is smaller than the sum of its proper divisors (824683504).

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

465424400 is a wasteful number, since it uses less digits than its factorization.

465424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

The square root of 465424400 is about 21573.6969479039. The cubic root of 465424400 is about 774.9667137976.

Adding to 465424400 its reverse (4424564), we get a palindrome (469848964).

The spelling of 465424400 in words is "four hundred sixty-five million, four hundred twenty-four thousand, four hundred".