450036056430400 has 336 divisors, whose sum is σ = 1234844109204480. Its totient is φ = 160024616294400.

The previous prime is 450036056430383. The next prime is 450036056430419. The reversal of 450036056430400 is 4034650630054.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 928703371 + ... + 929187829.

Almost surely, 2^{450036056430400} is an apocalyptic number.

450036056430400 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 450036056430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617422054602240).

450036056430400 is an abundant number, since it is smaller than the sum of its proper divisors (784808052774080).

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

450036056430400 is a wasteful number, since it uses less digits than its factorization.

450036056430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485662 (or 485647 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 40.

The spelling of 450036056430400 in words is "four hundred fifty trillion, thirty-six billion, fifty-six million, four hundred thirty thousand, four hundred".