465850980 has 192 divisors, whose sum is σ = 1666344960. Its totient is φ = 105840000.

The previous prime is 465850967. The next prime is 465851021. The reversal of 465850980 is 89058564.

465850980 is a `hidden beast` number, since 4 + 65 + 8 + 509 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 948535 + ... + 949025.

It is an arithmetic number, because the mean of its divisors is an integer number (8678880).

Almost surely, 2^465850980 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 465850980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833172480).

465850980 is an abundant number, since it is smaller than the sum of its proper divisors (1200493980).

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

465850980 is a wasteful number, since it uses less digits than its factorization.

465850980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 465850980 is about 21583.5812598373. The cubic root of 465850980 is about 775.2034041200.

It can be divided in two parts, 465850 and 980, that multiplied together give a cube (456533000 = 770³).

The spelling of 465850980 in words is "four hundred sixty-five million, eight hundred fifty thousand, nine hundred eighty".