453984521000 has 64 divisors (see below), whose sum is σ = 1064232308880. Its totient is φ = 181267564800.

The previous prime is 453984520963. The next prime is 453984521009. The reversal of 453984521000 is 125489354.

It can be written as a sum of positive squares in 8 ways, for example, as 23000148964 + 430984372036 = 151658^2 + 656494^2 .

It is a super-2 number, since 2×453984521000² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (453984521009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149474 + ... + 964526.

Almost surely, 2^453984521000 is an apocalyptic number.

453984521000 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 453984521000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532116154440).

453984521000 is an abundant number, since it is smaller than the sum of its proper divisors (610247787880).

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

453984521000 is a wasteful number, since it uses less digits than its factorization.

453984521000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815631 (or 815617 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 41.

The spelling of 453984521000 in words is "four hundred fifty-three billion, nine hundred eighty-four million, five hundred twenty-one thousand".