450962400 has 288 divisors, whose sum is σ = 1777386240. Its totient is φ = 96952320.

The previous prime is 450962399. The next prime is 450962411. The reversal of 450962400 is 4269054.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 284811 + ... + 286389.

It is an arithmetic number, because the mean of its divisors is an integer number (6171480).

Almost surely, 2^450962400 is an apocalyptic number.

450962400 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 450962400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888693120).

450962400 is an abundant number, since it is smaller than the sum of its proper divisors (1326423840).

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

450962400 is a wasteful number, since it uses less digits than its factorization.

450962400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 450962400 is about 21235.8753057179. The cubic root of 450962400 is about 766.8553368889.

The spelling of 450962400 in words is "four hundred fifty million, nine hundred sixty-two thousand, four hundred".