450407520 has 192 divisors, whose sum is σ = 1669429440. Its totient is φ = 113025024.

The previous prime is 450407513. The next prime is 450407561. The reversal of 450407520 is 25704054.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70374 + ... + 76506.

It is an arithmetic number, because the mean of its divisors is an integer number (8694945).

Almost surely, 2^450407520 is an apocalyptic number.

450407520 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 450407520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834714720).

450407520 is an abundant number, since it is smaller than the sum of its proper divisors (1219021920).

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

450407520 is a wasteful number, since it uses less digits than its factorization.

450407520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6174 (or 6160 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 450407520 is about 21222.8066004475. The cubic root of 450407520 is about 766.5406858739.

The spelling of 450407520 in words is "four hundred fifty million, four hundred seven thousand, five hundred twenty".