450644040 has 256 divisors, whose sum is σ = 1873152000. Its totient is φ = 93623040.

The previous prime is 450644039. The next prime is 450644059. The reversal of 450644040 is 40446054.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 450643995 and 450644013.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80451 + ... + 85869.

It is an arithmetic number, because the mean of its divisors is an integer number (7317000).

Almost surely, 2^450644040 is an apocalyptic number.

450644040 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 450644040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936576000).

450644040 is an abundant number, since it is smaller than the sum of its proper divisors (1422507960).

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

450644040 is a wasteful number, since it uses less digits than its factorization.

450644040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5457 (or 5447 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 450644040 is about 21228.3781763940. The cubic root of 450644040 is about 766.6748388123.

The spelling of 450644040 in words is "four hundred fifty million, six hundred forty-four thousand, forty".