450497760 has 48 divisors (see below), whose sum is σ = 1419069456. Its totient is φ = 120132608.

The previous prime is 450497753. The next prime is 450497767. The reversal of 450497760 is 67794054.

It is an interprime number because it is at equal distance from previous prime (450497753) and next prime (450497767).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450497767) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 468789 + ... + 469748.

It is an arithmetic number, because the mean of its divisors is an integer number (29563947).

Almost surely, 2^450497760 is an apocalyptic number.

450497760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450497760 is an abundant number, since it is smaller than the sum of its proper divisors (968571696).

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

450497760 is a wasteful number, since it uses less digits than its factorization.

450497760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938555 (or 938547 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 450497760 is about 21224.9325087266. The cubic root of 450497760 is about 766.5918750817.

The spelling of 450497760 in words is "four hundred fifty million, four hundred ninety-seven thousand, seven hundred sixty".