649286400 has 216 divisors, whose sum is σ = 2449398784. Its totient is φ = 148377600.

The previous prime is 649286399. The next prime is 649286401. The reversal of 649286400 is 4682946.

It is an interprime number because it is at equal distance from previous prime (649286399) and next prime (649286401).

It is not an unprimeable number, because it can be changed into a prime (649286401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131985 + ... + 136815.

Almost surely, 2^649286400 is an apocalyptic number.

649286400 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 649286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224699392).

649286400 is an abundant number, since it is smaller than the sum of its proper divisors (1800112384).

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

649286400 is a wasteful number, since it uses less digits than its factorization.

649286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4867 (or 4848 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 649286400 is about 25481.0988774032. The cubic root of 649286400 is about 865.9219901747.

The spelling of 649286400 in words is "six hundred forty-nine million, two hundred eighty-six thousand, four hundred".