56829465 has 144 divisors (see below), whose sum is σ = 130999680. Its totient is φ = 23284800.

The previous prime is 56829463. The next prime is 56829469. The reversal of 56829465 is 56492865.

56829465 = 16² + 17² + ... + 554².

56829465 is a `hidden beast` number, since 568 + 29 + 4 + 65 = 666.

It is not a de Polignac number, because 56829465 - 2¹ = 56829463 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 56829465.

It is not an unprimeable number, because it can be changed into a prime (56829463) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 800380 + ... + 800450.

It is an arithmetic number, because the mean of its divisors is an integer number (909720).

Almost surely, 2^56829465 is an apocalyptic number.

56829465 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56829465 is an abundant number, since it is smaller than the sum of its proper divisors (74170215).

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

56829465 is a wasteful number, since it uses less digits than its factorization.

56829465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 97 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 56829465 is about 7538.5320189013. The cubic root of 56829465 is about 384.4659261394.

The spelling of 56829465 in words is "fifty-six million, eight hundred twenty-nine thousand, four hundred sixty-five".