451416064 has 104 divisors (see below), whose sum is σ = 1012014432. Its totient is φ = 199557120.

The previous prime is 451416023. The next prime is 451416151. The reversal of 451416064 is 460614154.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1937292 + ... + 1937524.

It is an arithmetic number, because the mean of its divisors is an integer number (9730908).

Almost surely, 2^451416064 is an apocalyptic number.

451416064 is a gapful number since it is divisible by the number (44) 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 451416064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506007216).

451416064 is an abundant number, since it is smaller than the sum of its proper divisors (560598368).

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

451416064 is a wasteful number, since it uses less digits than its factorization.

451416064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 451416064 is about 21246.5541676762. The cubic root of 451416064 is about 767.1124004971.

The spelling of 451416064 in words is "four hundred fifty-one million, four hundred sixteen thousand, sixty-four".