451070928 has 240 divisors, whose sum is σ = 1667143296. Its totient is φ = 110223360.

The previous prime is 451070927. The next prime is 451070929. The reversal of 451070928 is 829070154.

It is an interprime number because it is at equal distance from previous prime (451070927) and next prime (451070929).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 451070892 and 451070901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451070927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187300 + ... + 189692.

Almost surely, 2^451070928 is an apocalyptic number.

451070928 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 451070928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833571648).

451070928 is an abundant number, since it is smaller than the sum of its proper divisors (1216072368).

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

451070928 is a wasteful number, since it uses less digits than its factorization.

451070928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2442 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 451070928 is about 21238.4304504829. The cubic root of 451070928 is about 766.9168487434.

The spelling of 451070928 in words is "four hundred fifty-one million, seventy thousand, nine hundred twenty-eight".