56406000 has 320 divisors, whose sum is σ = 222842880. Its totient is φ = 11980800.

The previous prime is 56405977. The next prime is 56406011. The reversal of 56406000 is 60465.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 713961 + ... + 714039.

It is an arithmetic number, because the mean of its divisors is an integer number (696384).

Almost surely, 2^56406000 is an apocalyptic number.

56406000 is a gapful number since it is divisible by the number (50) 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 56406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111421440).

56406000 is an abundant number, since it is smaller than the sum of its proper divisors (166436880).

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

56406000 is a wasteful number, since it uses less digits than its factorization.

56406000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 56406000 is about 7510.3927993148. The cubic root of 56406000 is about 383.5085945060.

Adding to 56406000 its reverse (60465), we get a palindrome (56466465).

The spelling of 56406000 in words is "fifty-six million, four hundred six thousand".