450439920 has 320 divisors, whose sum is σ = 1832263680. Its totient is φ = 99636480.

The previous prime is 450439907. The next prime is 450439931. The reversal of 450439920 is 29934054.

It is a super-2 number, since 2×450439920² = 405792243059212800, which contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 14530305 + ... + 14530335.

It is an arithmetic number, because the mean of its divisors is an integer number (5725824).

Almost surely, 2^450439920 is an apocalyptic number.

450439920 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 450439920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916131840).

450439920 is an abundant number, since it is smaller than the sum of its proper divisors (1381823760).

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

450439920 is an equidigital number, since it uses as much as digits as its factorization.

450439920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 450439920 is about 21223.5699164867. The cubic root of 450439920 is about 766.5590657644.

The spelling of 450439920 in words is "four hundred fifty million, four hundred thirty-nine thousand, nine hundred twenty".