56461350 has 96 divisors (see below), whose sum is σ = 160882560. Its totient is φ = 12960000.

The previous prime is 56461337. The next prime is 56461357. The reversal of 56461350 is 5316465.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56461357) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30450 + ... + 32250.

It is an arithmetic number, because the mean of its divisors is an integer number (1675860).

Almost surely, 2^56461350 is an apocalyptic number.

56461350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 56461350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80441280).

56461350 is an abundant number, since it is smaller than the sum of its proper divisors (104421210).

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

56461350 is a wasteful number, since it uses less digits than its factorization.

56461350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1846 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 56461350 is about 7514.0767895996. The cubic root of 56461350 is about 383.6339964209.

It can be divided in two parts, 5646 and 1350, that added together give a palindrome (6996).

The spelling of 56461350 in words is "fifty-six million, four hundred sixty-one thousand, three hundred fifty".