55435464 has 144 divisors (see below), whose sum is σ = 184064400. Its totient is φ = 14986944.

The previous prime is 55435463. The next prime is 55435477. The reversal of 55435464 is 46453455.

55435464 is a `hidden beast` number, since 5 + 543 + 54 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (55435463) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 66619 + ... + 67445.

It is an arithmetic number, because the mean of its divisors is an integer number (1278225).

Almost surely, 2^55435464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55435464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92032200).

55435464 is an abundant number, since it is smaller than the sum of its proper divisors (128628936).

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

55435464 is a wasteful number, since it uses less digits than its factorization.

55435464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 858 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

The square root of 55435464 is about 7445.4995802834. The cubic root of 55435464 is about 381.2962748095.

Subtracting from 55435464 its reverse (46453455), we obtain a square (8982009 = 2997²).

The spelling of 55435464 in words is "fifty-five million, four hundred thirty-five thousand, four hundred sixty-four".