56490000 has 200 divisors, whose sum is σ = 209183040. Its totient is φ = 12864000.

The previous prime is 56489989. The next prime is 56490019. The reversal of 56490000 is 9465.

56490000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×56490000² = 6382240200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 209866 + ... + 210134.

Almost surely, 2^56490000 is an apocalyptic number.

56490000 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 56490000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104591520).

56490000 is an abundant number, since it is smaller than the sum of its proper divisors (152693040).

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

56490000 is a wasteful number, since it uses less digits than its factorization.

56490000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 56490000 is about 7515.9829696454. The cubic root of 56490000 is about 383.6988741674.

Adding to 56490000 its reverse (9465), we get a palindrome (56499465).

The spelling of 56490000 in words is "fifty-six million, four hundred ninety thousand".