453628000 has 192 divisors, whose sum is σ = 1350131328. Its totient is φ = 146227200.

The previous prime is 453627917. The next prime is 453628031. The reversal of 453628000 is 826354.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 453628000.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 475524 + ... + 476476.

It is an arithmetic number, because the mean of its divisors is an integer number (7031934).

Almost surely, 2^453628000 is an apocalyptic number.

453628000 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 453628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675065664).

453628000 is an abundant number, since it is smaller than the sum of its proper divisors (896503328).

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

453628000 is a wasteful number, since it uses less digits than its factorization.

453628000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 453628000 is about 21298.5445512129. The cubic root of 453628000 is about 768.3633082865.

The spelling of 453628000 in words is "four hundred fifty-three million, six hundred twenty-eight thousand".