56226456 has 192 divisors, whose sum is σ = 184504320. Its totient is φ = 15240960.

The previous prime is 56226439. The next prime is 56226461. The reversal of 56226456 is 65462265.

56226456 is a `hidden beast` number, since 5 + 6 + 2 + 2 + 645 + 6 = 666.

It is a super-2 number, since 2×56226456² = 6322828708639872, which contains 22 as substring.

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 56226456.

It is a congruent number.

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, 442665 + ... + 442791.

It is an arithmetic number, because the mean of its divisors is an integer number (960960).

Almost surely, 2^56226456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56226456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92252160).

56226456 is an abundant number, since it is smaller than the sum of its proper divisors (128277864).

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

56226456 is a wasteful number, since it uses less digits than its factorization.

56226456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 199 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 56226456 is about 7498.4302357227. The cubic root of 56226456 is about 383.1012509906.

The spelling of 56226456 in words is "fifty-six million, two hundred twenty-six thousand, four hundred fifty-six".