626028480 has 448 divisors, whose sum is σ = 2756367360. Its totient is φ = 129945600.

The previous prime is 626028479. The next prime is 626028497. The reversal of 626028480 is 84820626.

626028480 is a `hidden beast` number, since 6 + 2 + 602 + 8 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×626028480² = 783823315542220800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 664810 + ... + 665750.

Almost surely, 2^626028480 is an apocalyptic number.

626028480 is a gapful number since it is divisible by the number (60) 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 626028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378183680).

626028480 is an abundant number, since it is smaller than the sum of its proper divisors (2130338880).

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

626028480 is a wasteful number, since it uses less digits than its factorization.

626028480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 626028480 is about 25020.5611447865. The cubic root of 626028480 is about 855.4566966101.

The spelling of 626028480 in words is "six hundred twenty-six million, twenty-eight thousand, four hundred eighty".