450140023002400 has 36 divisors (see below), whose sum is σ = 1098904331156562. Its totient is φ = 180056009200640.

The previous prime is 450140023002343. The next prime is 450140023002407. The reversal of 450140023002400 is 4200320041054.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 193625332564624 + 256514690437776 = 13914932^2 + 16016076^2 .

It is a super-2 number, since 2×450140023002400² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (450140023002407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 281337513577 + ... + 281337515176.

Almost surely, 2^{450140023002400} is an apocalyptic number.

450140023002400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450140023002400 is an abundant number, since it is smaller than the sum of its proper divisors (648764308154162).

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

450140023002400 is a wasteful number, since it uses less digits than its factorization.

450140023002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562675028773 (or 562675028760 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 450140023002400 its reverse (4200320041054), we get a palindrome (454340343043454).

The spelling of 450140023002400 in words is "four hundred fifty trillion, one hundred forty billion, twenty-three million, two thousand, four hundred".