450535002400 has 144 divisors (see below), whose sum is σ = 1259984980800. Its totient is φ = 154101427200.

The previous prime is 450535002367. The next prime is 450535002427. The reversal of 450535002400 is 4200535054.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2262051 + ... + 2453149.

It is an arithmetic number, because the mean of its divisors is an integer number (8749895700).

Almost surely, 2^450535002400 is an apocalyptic number.

450535002400 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 450535002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629992490400).

450535002400 is an abundant number, since it is smaller than the sum of its proper divisors (809449978400).

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

450535002400 is a wasteful number, since it uses less digits than its factorization.

450535002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191547 (or 191534 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 28.

Adding to 450535002400 its reverse (4200535054), we get a palindrome (454735537454).

The spelling of 450535002400 in words is "four hundred fifty billion, five hundred thirty-five million, two thousand, four hundred".