450754560 has 288 divisors, whose sum is σ = 1607271120. Its totient is φ = 116785152.

The previous prime is 450754531. The next prime is 450754589. The reversal of 450754560 is 65457054.

It is a happy number.

450754560 is a `hidden beast` number, since 4 + 50 + 7 + 545 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (450754531) and next prime (450754589).

It is a tau number, because it is divible by the number of its divisors (288).

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, 6174684 + ... + 6174756.

Almost surely, 2^450754560 is an apocalyptic number.

450754560 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 450754560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803635560).

450754560 is an abundant number, since it is smaller than the sum of its proper divisors (1156516560).

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

450754560 is a wasteful number, since it uses less digits than its factorization.

450754560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 450754560 is about 21230.9811360662. The cubic root of 450754560 is about 766.7375091017.

The spelling of 450754560 in words is "four hundred fifty million, seven hundred fifty-four thousand, five hundred sixty".