1648406340 has 144 divisors (see below), whose sum is σ = 5733891072. Its totient is φ = 375499008.

The previous prime is 1648406323. The next prime is 1648406363. The reversal of 1648406340 is 436048461.

1648406340 is a `hidden beast` number, since 1 + 648 + 4 + 0 + 6 + 3 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1648406295 and 1648406304.

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, 397357 + ... + 401483.

It is an arithmetic number, because the mean of its divisors is an integer number (39818688).

Almost surely, 2^1648406340 is an apocalyptic number.

1648406340 is a gapful number since it is divisible by the number (10) 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 1648406340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2866945536).

1648406340 is an abundant number, since it is smaller than the sum of its proper divisors (4085484732).

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

1648406340 is a wasteful number, since it uses less digits than its factorization.

1648406340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4466 (or 4461 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 1648406340 is about 40600.5706856443. The cubic root of 1648406340 is about 1181.2851888400.

The spelling of 1648406340 in words is "one billion, six hundred forty-eight million, four hundred six thousand, three hundred forty".