465121400 has 48 divisors (see below), whose sum is σ = 1104438240. Its totient is φ = 182086400.

The previous prime is 465121381. The next prime is 465121409. The reversal of 465121400 is 4121564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465121409) 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, 15341 + ... + 34140.

It is an arithmetic number, because the mean of its divisors is an integer number (23009130).

Almost surely, 2^465121400 is an apocalyptic number.

465121400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

465121400 is an abundant number, since it is smaller than the sum of its proper divisors (639316840).

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

465121400 is a wasteful number, since it uses less digits than its factorization.

465121400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49544 (or 49535 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 465121400 is about 21566.6733642442. The cubic root of 465121400 is about 774.7985046756.

Adding to 465121400 its reverse (4121564), we get a palindrome (469242964).

The spelling of 465121400 in words is "four hundred sixty-five million, one hundred twenty-one thousand, four hundred".