450763400 has 48 divisors (see below), whose sum is σ = 1051539840. Its totient is φ = 179700800.

The previous prime is 450763387. The next prime is 450763403. The reversal of 450763400 is 4367054.

It is not an unprimeable number, because it can be changed into a prime (450763403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58577 + ... + 65823.

It is an arithmetic number, because the mean of its divisors is an integer number (21907080).

Almost surely, 2^450763400 is an apocalyptic number.

450763400 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 450763400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525769920).

450763400 is an abundant number, since it is smaller than the sum of its proper divisors (600776440).

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

450763400 is a wasteful number, since it uses less digits than its factorization.

450763400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7574 (or 7565 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 29.

The square root of 450763400 is about 21231.1893213734. The cubic root of 450763400 is about 766.7425213751.

The spelling of 450763400 in words is "four hundred fifty million, seven hundred sixty-three thousand, four hundred".