48400564 has 36 divisors (see below), whose sum is σ = 90902700. Its totient is φ = 22543360.

The previous prime is 48400549. The next prime is 48400567. The reversal of 48400564 is 46500484.

48400564 = T₁₀₁ + T₁₀₂ + ... + T₆₆₂.

It can be written as a sum of positive squares in 6 ways, for example, as 1340964 + 47059600 = 1158^2 + 6860^2 .

It is a super-2 number, since 2×48400564² = 4685229191036192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48400567) 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 11 ways as a sum of consecutive naturals, for example, 172104 + ... + 172384.

It is an arithmetic number, because the mean of its divisors is an integer number (2525075).

Almost surely, 2^48400564 is an apocalyptic number.

It is an amenable number.

48400564 is a deficient number, since it is larger than the sum of its proper divisors (42502136).

48400564 is a wasteful number, since it uses less digits than its factorization.

48400564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 48400564 is about 6957.0513869024. The cubic root of 48400564 is about 364.4322542715.

The spelling of 48400564 in words is "forty-eight million, four hundred thousand, five hundred sixty-four".