1656782460 has 144 divisors (see below), whose sum is σ = 5273049600. Its totient is φ = 420266880.

The previous prime is 1656782459. The next prime is 1656782461. The reversal of 1656782460 is 642876561.

1656782460 is a `hidden beast` number, since 1 + 6 + 567 + 8 + 24 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (1656782459) and next prime (1656782461).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1656782461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 822855 + ... + 824865.

It is an arithmetic number, because the mean of its divisors is an integer number (36618400).

Almost surely, 2^1656782460 is an apocalyptic number.

1656782460 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 1656782460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2636524800).

1656782460 is an abundant number, since it is smaller than the sum of its proper divisors (3616267140).

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

1656782460 is a wasteful number, since it uses less digits than its factorization.

1656782460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2248 (or 2243 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 1656782460 is about 40703.5927161227. The cubic root of 1656782460 is about 1183.2826482732.

The spelling of 1656782460 in words is "one billion, six hundred fifty-six million, seven hundred eighty-two thousand, four hundred sixty".