465121980 has 96 divisors (see below), whose sum is σ = 1465497600. Its totient is φ = 122451264.

The previous prime is 465121961. The next prime is 465121991. The reversal of 465121980 is 89121564.

465121980 is a `hidden beast` number, since 465 + 1 + 2 + 198 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37209 + ... + 48111.

It is an arithmetic number, because the mean of its divisors is an integer number (15265600).

Almost surely, 2^465121980 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 465121980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732748800).

465121980 is an abundant number, since it is smaller than the sum of its proper divisors (1000375620).

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

465121980 is a wasteful number, since it uses less digits than its factorization.

465121980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11000 (or 10992 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 465121980 is about 21566.6868109128. The cubic root of 465121980 is about 774.7988267298.

The spelling of 465121980 in words is "four hundred sixty-five million, one hundred twenty-one thousand, nine hundred eighty".