450682128 has 120 divisors (see below), whose sum is σ = 1429908480. Its totient is φ = 131362560.

The previous prime is 450682103. The next prime is 450682151. The reversal of 450682128 is 821286054.

450682128 is a `hidden beast` number, since 450 + 6 + 82 + 128 = 666.

It is a super-2 number, since 2×450682128² = 406228760997216768, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 450682092 and 450682101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29233 + ... + 41903.

It is an arithmetic number, because the mean of its divisors is an integer number (11915904).

Almost surely, 2^450682128 is an apocalyptic number.

450682128 is a gapful number since it is divisible by the number (48) 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 450682128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714954240).

450682128 is an abundant number, since it is smaller than the sum of its proper divisors (979226352).

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

450682128 is a wasteful number, since it uses less digits than its factorization.

450682128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12717 (or 12708 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 450682128 is about 21229.2752584727. The cubic root of 450682128 is about 766.6964377433.

The spelling of 450682128 in words is "four hundred fifty million, six hundred eighty-two thousand, one hundred twenty-eight".