450690240 has 672 divisors, whose sum is σ = 1984760064. Its totient is φ = 85155840.

The previous prime is 450690223. The next prime is 450690259. The reversal of 450690240 is 42096054.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 450690198 and 450690207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6726687 + ... + 6726753.

It is an arithmetic number, because the mean of its divisors is an integer number (2953512).

Almost surely, 2^450690240 is an apocalyptic number.

450690240 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 450690240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992380032).

450690240 is an abundant number, since it is smaller than the sum of its proper divisors (1534069824).

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

450690240 is a wasteful number, since it uses less digits than its factorization.

450690240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 450690240 is about 21229.4663145356. The cubic root of 450690240 is about 766.7010377365.

The spelling of 450690240 in words is "four hundred fifty million, six hundred ninety thousand, two hundred forty".