465375100 has 144 divisors (see below), whose sum is σ = 1115928576. Its totient is φ = 167904000.

The previous prime is 465375041. The next prime is 465375101. The reversal of 465375100 is 1573564.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465375101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4349247 + ... + 4349353.

It is an arithmetic number, because the mean of its divisors is an integer number (7749504).

Almost surely, 2^465375100 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 465375100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557964288).

465375100 is an abundant number, since it is smaller than the sum of its proper divisors (650553476).

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

465375100 is a wasteful number, since it uses less digits than its factorization.

465375100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 31.

The square root of 465375100 is about 21572.5543225646. The cubic root of 465375100 is about 774.9393500925.

The spelling of 465375100 in words is "four hundred sixty-five million, three hundred seventy-five thousand, one hundred".