649458432 has 288 divisors, whose sum is σ = 2270965760. Its totient is φ = 179159040.

The previous prime is 649458431. The next prime is 649458461. The reversal of 649458432 is 234854946.

649458432 is a `hidden beast` number, since 64 + 9 + 4 + 584 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (649458431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1499688 + ... + 1500120.

Almost surely, 2^649458432 is an apocalyptic number.

649458432 is a gapful number since it is divisible by the number (62) 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 649458432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135482880).

649458432 is an abundant number, since it is smaller than the sum of its proper divisors (1621507328).

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

649458432 is a wasteful number, since it uses less digits than its factorization.

649458432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 476 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 649458432 is about 25484.4743324244. The cubic root of 649458432 is about 865.9984603514.

The spelling of 649458432 in words is "six hundred forty-nine million, four hundred fifty-eight thousand, four hundred thirty-two".