1420657056 has 480 divisors, whose sum is σ = 5430015360. Its totient is φ = 353839104.

The previous prime is 1420657033. The next prime is 1420657081. The reversal of 1420657056 is 6507560241.

It is a happy number.

1420657056 is a `hidden beast` number, since 14 + 20 + 6 + 570 + 56 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1420657056.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4481410 + ... + 4481726.

It is an arithmetic number, because the mean of its divisors is an integer number (11312532).

Almost surely, 2^1420657056 is an apocalyptic number.

1420657056 is a gapful number since it is divisible by the number (16) 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 1420657056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2715007680).

1420657056 is an abundant number, since it is smaller than the sum of its proper divisors (4009358304).

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

1420657056 is a wasteful number, since it uses less digits than its factorization.

1420657056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 1420657056 is about 37691.6045824531. The cubic root of 1420657056 is about 1124.1642005442.

The spelling of 1420657056 in words is "one billion, four hundred twenty million, six hundred fifty-seven thousand, fifty-six".