56460300 has 144 divisors (see below), whose sum is σ = 181988352. Its totient is φ = 13420800.

The previous prime is 56460251. The next prime is 56460307. The reversal of 56460300 is 306465.

It is not an unprimeable number, because it can be changed into a prime (56460307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120667 + ... + 121133.

It is an arithmetic number, because the mean of its divisors is an integer number (1263808).

Almost surely, 2^56460300 is an apocalyptic number.

56460300 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 56460300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90994176).

56460300 is an abundant number, since it is smaller than the sum of its proper divisors (125528052).

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

56460300 is a wasteful number, since it uses less digits than its factorization.

56460300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 56460300 is about 7514.0069204120. The cubic root of 56460300 is about 383.6316182855.

Adding to 56460300 its reverse (306465), we get a palindrome (56766765).

The spelling of 56460300 in words is "fifty-six million, four hundred sixty thousand, three hundred".