450386640 has 480 divisors, whose sum is σ = 1803634560. Its totient is φ = 99532800.

The previous prime is 450386639. The next prime is 450386641. The reversal of 450386640 is 46683054.

450386640 is a `hidden beast` number, since 4 + 5 + 0 + 3 + 8 + 6 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (450386639) and next prime (450386641).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 450386595 and 450386604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450386641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6169644 + ... + 6169716.

It is an arithmetic number, because the mean of its divisors is an integer number (3757572).

Almost surely, 2^450386640 is an apocalyptic number.

450386640 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 450386640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901817280).

450386640 is an abundant number, since it is smaller than the sum of its proper divisors (1353247920).

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

450386640 is a wasteful number, since it uses less digits than its factorization.

450386640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 450386640 is about 21222.3146711192. The cubic root of 450386640 is about 766.5288405885.

The spelling of 450386640 in words is "four hundred fifty million, three hundred eighty-six thousand, six hundred forty".