450918972 has 108 divisors (see below), whose sum is σ = 1338868440. Its totient is φ = 127576512.

The previous prime is 450918967. The next prime is 450918977. The reversal of 450918972 is 279819054.

It is an interprime number because it is at equal distance from previous prime (450918967) and next prime (450918977).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450918977) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 187554 + ... + 189942.

It is an arithmetic number, because the mean of its divisors is an integer number (12396930).

Almost surely, 2^450918972 is an apocalyptic number.

450918972 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 450918972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669434220).

450918972 is an abundant number, since it is smaller than the sum of its proper divisors (887949468).

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

450918972 is a wasteful number, since it uses less digits than its factorization.

450918972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2520 (or 2508 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 450918972 is about 21234.8527661484. The cubic root of 450918972 is about 766.8307198604.

The spelling of 450918972 in words is "four hundred fifty million, nine hundred eighteen thousand, nine hundred seventy-two".