450758400 has 216 divisors, whose sum is σ = 1576242864. Its totient is φ = 113049600.

The previous prime is 450758381. The next prime is 450758401. The reversal of 450758400 is 4857054.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450758401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 325710 + ... + 327090.

Almost surely, 2^450758400 is an apocalyptic number.

450758400 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 450758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788121432).

450758400 is an abundant number, since it is smaller than the sum of its proper divisors (1125484464).

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

450758400 is a wasteful number, since it uses less digits than its factorization.

450758400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1427 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 450758400 is about 21231.0715697536. The cubic root of 450758400 is about 766.7396863869.

The spelling of 450758400 in words is "four hundred fifty million, seven hundred fifty-eight thousand, four hundred".