4615408 has 60 divisors (see below), whose sum is σ = 10800400. Its totient is φ = 1909824.

The previous prime is 4615367. The next prime is 4615409. The reversal of 4615408 is 8045164.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4615409) 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, 159138 + ... + 159166.

Almost surely, 2^4615408 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 4615408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5400200).

4615408 is an abundant number, since it is smaller than the sum of its proper divisors (6184992).

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

4615408 is an equidigital number, since it uses as much as digits as its factorization.

4615408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 4615408 is about 2148.3500645844. The cubic root of 4615408 is about 166.4958320642.

Multiplying 4615408 by its sum of digits (28), we get a square (129231424 = 11368²).

4615408 divided by its sum of digits (28) gives a square (164836 = 406²).

The spelling of 4615408 in words is "four million, six hundred fifteen thousand, four hundred eight".