450787680 has 240 divisors, whose sum is σ = 1818542880. Its totient is φ = 103016448.

The previous prime is 450787639. The next prime is 450787681. The reversal of 450787680 is 86787054.

450787680 is a `hidden beast` number, since 4 + 507 + 87 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450787681) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 88236 + ... + 93204.

It is an arithmetic number, because the mean of its divisors is an integer number (7577262).

Almost surely, 2^450787680 is an apocalyptic number.

450787680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450787680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909271440).

450787680 is an abundant number, since it is smaller than the sum of its proper divisors (1367755200).

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

450787680 is a wasteful number, since it uses less digits than its factorization.

450787680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5003 (or 4986 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 450787680 is about 21231.7611139538. The cubic root of 450787680 is about 766.7562877798.

The spelling of 450787680 in words is "four hundred fifty million, seven hundred eighty-seven thousand, six hundred eighty".