451429680 has 160 divisors (see below), whose sum is σ = 1544276160. Its totient is φ = 108380160.

The previous prime is 451429669. The next prime is 451429687. The reversal of 451429680 is 86924154.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (451429687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126156 + ... + 129684.

It is an arithmetic number, because the mean of its divisors is an integer number (9651726).

Almost surely, 2^451429680 is an apocalyptic number.

451429680 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 451429680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772138080).

451429680 is an abundant number, since it is smaller than the sum of its proper divisors (1092846480).

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

451429680 is a wasteful number, since it uses less digits than its factorization.

451429680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3599 (or 3593 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 451429680 is about 21246.8745936902. The cubic root of 451429680 is about 767.1201131878.

The spelling of 451429680 in words is "four hundred fifty-one million, four hundred twenty-nine thousand, six hundred eighty".