56400465 has 16 divisors (see below), whose sum is σ = 98444736. Its totient is φ = 27345600.

The previous prime is 56400451. The next prime is 56400467.

56400465 is nontrivially palindromic in base 10.

56400465 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 56400465 - 2⁵ = 56400433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (56400467) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 170746 + ... + 171075.

It is an arithmetic number, because the mean of its divisors is an integer number (6152796).

Almost surely, 2^56400465 is an apocalyptic number.

56400465 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56400465 is a deficient number, since it is larger than the sum of its proper divisors (42044271).

56400465 is a wasteful number, since it uses less digits than its factorization.

56400465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341840.

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 56400465 is about 7510.0243008928. The cubic root of 56400465 is about 383.4960498033.

It can be divided in two parts, 56400 and 465, that added together give a palindrome (56865).

The spelling of 56400465 in words is "fifty-six million, four hundred thousand, four hundred sixty-five".