450064980 has 72 divisors (see below), whose sum is σ = 1388368800. Its totient is φ = 117980352.

The previous prime is 450064931. The next prime is 450065009. The reversal of 450064980 is 89460054.

450064980 is a `hidden beast` number, since 4 + 5 + 0 + 0 + 649 + 8 + 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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10570 + ... + 31809.

It is an arithmetic number, because the mean of its divisors is an integer number (19282900).

Almost surely, 2^450064980 is an apocalyptic number.

It is an amenable number.

450064980 is an abundant number, since it is smaller than the sum of its proper divisors (938303820).

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

450064980 is a wasteful number, since it uses less digits than its factorization.

450064980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42453 (or 42448 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 450064980 is about 21214.7349735979. The cubic root of 450064980 is about 766.3463156456.

It can be divided in two parts, 4500 and 64980, that multiplied together give a square (292410000 = 17100²).

The spelling of 450064980 in words is "four hundred fifty million, sixty-four thousand, nine hundred eighty".