450374760 has 96 divisors (see below), whose sum is σ = 1596797280. Its totient is φ = 109180800.

The previous prime is 450374731. The next prime is 450374801. The reversal of 450374760 is 67473054.

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

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 23 ways as a sum of consecutive naturals, for example, 52906 + ... + 60825.

It is an arithmetic number, because the mean of its divisors is an integer number (16633305).

Almost surely, 2^450374760 is an apocalyptic number.

450374760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450374760 is an abundant number, since it is smaller than the sum of its proper divisors (1146422520).

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

450374760 is a wasteful number, since it uses less digits than its factorization.

450374760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113759 (or 113752 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 450374760 is about 21222.0347752048. The cubic root of 450374760 is about 766.5221008661.

The spelling of 450374760 in words is "four hundred fifty million, three hundred seventy-four thousand, seven hundred sixty".