450398520 has 288 divisors, whose sum is σ = 1731721680. Its totient is φ = 100638720.

The previous prime is 450398497. The next prime is 450398537. The reversal of 450398520 is 25893054.

450398520 is a `hidden beast` number, since 45 + 0 + 3 + 98 + 520 = 666.

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

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 668904 + ... + 669576.

Almost surely, 2^450398520 is an apocalyptic number.

450398520 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 450398520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865860840).

450398520 is an abundant number, since it is smaller than the sum of its proper divisors (1281323160).

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

450398520 is a wasteful number, since it uses less digits than its factorization.

450398520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 450398520 is about 21222.5945633422. The cubic root of 450398520 is about 766.5355801923.

The spelling of 450398520 in words is "four hundred fifty million, three hundred ninety-eight thousand, five hundred twenty".