451999070208 has 768 divisors, whose sum is σ = 1596801024000. Its totient is φ = 123619737600.

The previous prime is 451999070197. The next prime is 451999070233. The reversal of 451999070208 is 802070999154.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1667893113 + ... + 1667893383.

It is an arithmetic number, because the mean of its divisors is an integer number (2079168000).

Almost surely, 2^451999070208 is an apocalyptic number.

451999070208 is a gapful number since it is divisible by the number (48) 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 451999070208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798400512000).

451999070208 is an abundant number, since it is smaller than the sum of its proper divisors (1144801953792).

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

451999070208 is a wasteful number, since it uses less digits than its factorization.

451999070208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 451999070208 in words is "four hundred fifty-one billion, nine hundred ninety-nine million, seventy thousand, two hundred eight".