451778960 has 80 divisors (see below), whose sum is σ = 1119303360. Its totient is φ = 169090560.

The previous prime is 451778953. The next prime is 451778983. The reversal of 451778960 is 69877154.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124370 + ... + 127950.

It is an arithmetic number, because the mean of its divisors is an integer number (13991292).

Almost surely, 2^451778960 is an apocalyptic number.

451778960 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 451778960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559651680).

451778960 is an abundant number, since it is smaller than the sum of its proper divisors (667524400).

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

451778960 is a wasteful number, since it uses less digits than its factorization.

451778960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3696 (or 3690 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 47.

The square root of 451778960 is about 21255.0925662534. The cubic root of 451778960 is about 767.3179074780.

The spelling of 451778960 in words is "four hundred fifty-one million, seven hundred seventy-eight thousand, nine hundred sixty".