450657360 has 60 divisors (see below), whose sum is σ = 1513460052. Its totient is φ = 120175104.

The previous prime is 450657359. The next prime is 450657391. The reversal of 450657360 is 63756054.

It can be written as a sum of positive squares in 2 ways, for example, as 270668304 + 179989056 = 16452^2 + 13416^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×450657360² = 406184112244339200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 312237 + ... + 313676.

Almost surely, 2^450657360 is an apocalyptic number.

450657360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450657360 is an abundant number, since it is smaller than the sum of its proper divisors (1062802692).

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

450657360 is a wasteful number, since it uses less digits than its factorization.

450657360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625932 (or 625923 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 450657360 is about 21228.6919050609. The cubic root of 450657360 is about 766.6823924521.

It can be divided in two parts, 45065 and 7360, that added together give a palindrome (52425).

The spelling of 450657360 in words is "four hundred fifty million, six hundred fifty-seven thousand, three hundred sixty".