620496000 has 384 divisors, whose sum is σ = 2316787200. Its totient is φ = 158976000.

The previous prime is 620495983. The next prime is 620496017. The reversal of 620496000 is 694026.

It is an interprime number because it is at equal distance from previous prime (620495983) and next prime (620496017).

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4463931 + ... + 4464069.

It is an arithmetic number, because the mean of its divisors is an integer number (6033300).

Almost surely, 2^620496000 is an apocalyptic number.

620496000 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 620496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158393600).

620496000 is an abundant number, since it is smaller than the sum of its proper divisors (1696291200).

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

620496000 is a wasteful number, since it uses less digits than its factorization.

620496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 620496000 is about 24909.7571244683. The cubic root of 620496000 is about 852.9292248914.

The spelling of 620496000 in words is "six hundred twenty million, four hundred ninety-six thousand".