450768192 has 224 divisors, whose sum is σ = 1464503040. Its totient is φ = 119439360.

The previous prime is 450768181. The next prime is 450768203. The reversal of 450768192 is 291867054.

It is an interprime number because it is at equal distance from previous prime (450768181) and next prime (450768203).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2490342 + ... + 2490522.

It is an arithmetic number, because the mean of its divisors is an integer number (6537960).

Almost surely, 2^450768192 is an apocalyptic number.

450768192 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 450768192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732251520).

450768192 is an abundant number, since it is smaller than the sum of its proper divisors (1013734848).

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

450768192 is a wasteful number, since it uses less digits than its factorization.

450768192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 450768192 is about 21231.3021739129. The cubic root of 450768192 is about 766.7452384081.

The spelling of 450768192 in words is "four hundred fifty million, seven hundred sixty-eight thousand, one hundred ninety-two".