451256982400 has 384 divisors, whose sum is σ = 1375272691200. Its totient is φ = 142882037760.

The previous prime is 451256982343. The next prime is 451256982401. The reversal of 451256982400 is 4289652154.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451256982401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14925699 + ... + 14955901.

It is an arithmetic number, because the mean of its divisors is an integer number (3581439300).

Almost surely, 2^451256982400 is an apocalyptic number.

451256982400 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 451256982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687636345600).

451256982400 is an abundant number, since it is smaller than the sum of its proper divisors (924015708800).

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

451256982400 is a wasteful number, since it uses less digits than its factorization.

451256982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30286 (or 30269 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 46.

The spelling of 451256982400 in words is "four hundred fifty-one billion, two hundred fifty-six million, nine hundred eighty-two thousand, four hundred".