450892512 has 216 divisors, whose sum is σ = 1512529200. Its totient is φ = 127024128.

The previous prime is 450892501. The next prime is 450892517. The reversal of 450892512 is 215298054.

450892512 is a `hidden beast` number, since 4 + 50 + 8 + 92 + 512 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450892517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1255789 + ... + 1256147.

It is an arithmetic number, because the mean of its divisors is an integer number (7002450).

Almost surely, 2^450892512 is an apocalyptic number.

450892512 is a gapful number since it is divisible by the number (42) 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 450892512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756264600).

450892512 is an abundant number, since it is smaller than the sum of its proper divisors (1061636688).

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

450892512 is a wasteful number, since it uses less digits than its factorization.

450892512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 450892512 is about 21234.2297246686. The cubic root of 450892512 is about 766.8157203158.

It can be divided in two parts, 4508 and 92512, that added together give a triangular number (97020 = T₄₄₀).

The spelling of 450892512 in words is "four hundred fifty million, eight hundred ninety-two thousand, five hundred twelve".