56460000 has 120 divisors (see below), whose sum is σ = 185396904. Its totient is φ = 15040000.

The previous prime is 56459983. The next prime is 56460007. The reversal of 56460000 is 6465.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56460007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59530 + ... + 60470.

Almost surely, 2^56460000 is an apocalyptic number.

56460000 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 56460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92698452).

56460000 is an abundant number, since it is smaller than the sum of its proper divisors (128936904).

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

56460000 is an equidigital number, since it uses as much as digits as its factorization.

56460000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 951 counting only the distinct ones).

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

The square root of 56460000 is about 7513.9869576677. The cubic root of 56460000 is about 383.6309388129.

Adding to 56460000 its reverse (6465), we get a palindrome (56466465).

The spelling of 56460000 in words is "fifty-six million, four hundred sixty thousand".