620272800 has 432 divisors, whose sum is σ = 2586834432. Its totient is φ = 136857600.

The previous prime is 620272799. The next prime is 620272813. The reversal of 620272800 is 8272026.

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 71 ways as a sum of consecutive naturals, for example, 1562202 + ... + 1562598.

Almost surely, 2^620272800 is an apocalyptic number.

620272800 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 620272800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293417216).

620272800 is an abundant number, since it is smaller than the sum of its proper divisors (1966561632).

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

620272800 is a wasteful number, since it uses less digits than its factorization.

620272800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 620272800 is about 24905.2765493580. The cubic root of 620272800 is about 852.8269429352.

The spelling of 620272800 in words is "six hundred twenty million, two hundred seventy-two thousand, eight hundred".