1564056450 has 144 divisors (see below), whose sum is σ = 4628516256. Its totient is φ = 375494400.

The previous prime is 1564056437. The next prime is 1564056467. The reversal of 1564056450 is 546504651.

1564056450 is a `hidden beast` number, since 1 + 5 + 6 + 4 + 0 + 5 + 645 + 0 = 666.

It is a super-3 number, since 3×1564056450³ (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 528174 + ... + 531126.

It is an arithmetic number, because the mean of its divisors is an integer number (32142474).

Almost surely, 2^1564056450 is an apocalyptic number.

1564056450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1564056450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2314258128).

1564056450 is an abundant number, since it is smaller than the sum of its proper divisors (3064459806).

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

1564056450 is a wasteful number, since it uses less digits than its factorization.

1564056450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3089 (or 3081 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 1564056450 is about 39548.1535599325. The cubic root of 1564056450 is about 1160.7823819209.

The spelling of 1564056450 in words is "one billion, five hundred sixty-four million, fifty-six thousand, four hundred fifty".