465642400 has 72 divisors (see below), whose sum is σ = 1147989024. Its totient is φ = 184416000.

The previous prime is 465642391. The next prime is 465642407. The reversal of 465642400 is 4246564.

It is not an unprimeable number, because it can be changed into a prime (465642407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79575 + ... + 85225.

It is an arithmetic number, because the mean of its divisors is an integer number (15944292).

Almost surely, 2^465642400 is an apocalyptic number.

465642400 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 465642400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573994512).

465642400 is an abundant number, since it is smaller than the sum of its proper divisors (682346624).

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

465642400 is a wasteful number, since it uses less digits than its factorization.

465642400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5774 (or 5761 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The square root of 465642400 is about 21578.7488052482. The cubic root of 465642400 is about 775.0876903897.

Adding to 465642400 its reverse (4246564), we get a palindrome (469888964).

It can be divided in two parts, 4 and 65642400, that added together give a square (65642404 = 8102²).

The spelling of 465642400 in words is "four hundred sixty-five million, six hundred forty-two thousand, four hundred".