428676480 has 192 divisors, whose sum is σ = 1558580400. Its totient is φ = 108269568.

The previous prime is 428676449. The next prime is 428676509. The reversal of 428676480 is 84676824.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107482 + ... + 111398.

Almost surely, 2^428676480 is an apocalyptic number.

428676480 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 428676480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779290200).

428676480 is an abundant number, since it is smaller than the sum of its proper divisors (1129903920).

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

428676480 is a wasteful number, since it uses less digits than its factorization.

428676480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3961 (or 3946 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 428676480 is about 20704.5038578566. The cubic root of 428676480 is about 754.0090386288.

The spelling of 428676480 in words is "four hundred twenty-eight million, six hundred seventy-six thousand, four hundred eighty".