649456080 has 320 divisors, whose sum is σ = 2507839488. Its totient is φ = 135383040.

The previous prime is 649456069. The next prime is 649456103. The reversal of 649456080 is 80654946.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 2860927 + ... + 2861153.

Almost surely, 2^649456080 is an apocalyptic number.

649456080 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 649456080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253919744).

649456080 is an abundant number, since it is smaller than the sum of its proper divisors (1858383408).

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

649456080 is a wasteful number, since it uses less digits than its factorization.

649456080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 649456080 is about 25484.4281866398. The cubic root of 649456080 is about 865.9974149517.

The spelling of 649456080 in words is "six hundred forty-nine million, four hundred fifty-six thousand, eighty".