450746000 has 40 divisors (see below), whose sum is σ = 1089908664. Its totient is φ = 180297600.

The previous prime is 450745993. The next prime is 450746011. The reversal of 450746000 is 647054.

It can be written as a sum of positive squares in 4 ways, for example, as 6885376 + 443860624 = 2624^2 + 21068^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110687 + ... + 114686.

Almost surely, 2^450746000 is an apocalyptic number.

450746000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450746000 is an abundant number, since it is smaller than the sum of its proper divisors (639162664).

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

450746000 is a wasteful number, since it uses less digits than its factorization.

450746000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225396 (or 225380 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 450746000 is about 21230.7795429183. The cubic root of 450746000 is about 766.7326555256.

The spelling of 450746000 in words is "four hundred fifty million, seven hundred forty-six thousand".