451543646400 has 672 divisors, whose sum is σ = 1850930723328. Its totient is φ = 93627187200.

The previous prime is 451543646383. The next prime is 451543646401. The reversal of 451543646400 is 4646345154.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (451543646401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 226563804 + ... + 226565796.

Almost surely, 2^451543646400 is an apocalyptic number.

451543646400 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 451543646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925465361664).

451543646400 is an abundant number, since it is smaller than the sum of its proper divisors (1399387076928).

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

451543646400 is a wasteful number, since it uses less digits than its factorization.

451543646400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2649 (or 2634 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 451543646400 in words is "four hundred fifty-one billion, five hundred forty-three million, six hundred forty-six thousand, four hundred".