647250240 has 448 divisors, whose sum is σ = 2621767680. Its totient is φ = 131604480.

The previous prime is 647250229. The next prime is 647250259. The reversal of 647250240 is 42052746.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 647250198 and 647250207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2708041 + ... + 2708279.

It is an arithmetic number, because the mean of its divisors is an integer number (5852160).

Almost surely, 2^647250240 is an apocalyptic number.

647250240 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 647250240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310883840).

647250240 is an abundant number, since it is smaller than the sum of its proper divisors (1974517440).

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

647250240 is a wasteful number, since it uses less digits than its factorization.

647250240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 647250240 is about 25441.1131831923. The cubic root of 647250240 is about 865.0158661484.

The spelling of 647250240 in words is "six hundred forty-seven million, two hundred fifty thousand, two hundred forty".