451735460400 has 240 divisors, whose sum is σ = 1660886982144. Its totient is φ = 102810224640.

The previous prime is 451735460381. The next prime is 451735460453. The reversal of 451735460400 is 4064537154.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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, 1841797 + ... + 2072603.

Almost surely, 2^451735460400 is an apocalyptic number.

451735460400 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 451735460400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830443491072).

451735460400 is an abundant number, since it is smaller than the sum of its proper divisors (1209151521744).

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

451735460400 is a wasteful number, since it uses less digits than its factorization.

451735460400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231068 (or 231057 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

Adding to 451735460400 its reverse (4064537154), we get a palindrome (455799997554).

It can be divided in two parts, 4517354 and 60400, that added together give a palindrome (4577754).

The spelling of 451735460400 in words is "four hundred fifty-one billion, seven hundred thirty-five million, four hundred sixty thousand, four hundred".