1648977408 has 120 divisors (see below), whose sum is σ = 5125328208. Its totient is φ = 507359232.

The previous prime is 1648977361. The next prime is 1648977443. The reversal of 1648977408 is 8047798461.

It is a happy number.

1648977408 is a `hidden beast` number, since 164 + 8 + 9 + 77 + 408 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46141 + ... + 73667.

Almost surely, 2^1648977408 is an apocalyptic number.

1648977408 is a gapful number since it is divisible by the number (18) 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 1648977408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2562664104).

1648977408 is an abundant number, since it is smaller than the sum of its proper divisors (3476350800).

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

1648977408 is a wasteful number, since it uses less digits than its factorization.

1648977408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27564 (or 27545 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The square root of 1648977408 is about 40607.6028349372. The cubic root of 1648977408 is about 1181.4215864963.

The spelling of 1648977408 in words is "one billion, six hundred forty-eight million, nine hundred seventy-seven thousand, four hundred eight".