45620352 has 72 divisors (see below), whose sum is σ = 131940315. Its totient is φ = 15130368.

The previous prime is 45620317. The next prime is 45620353. The reversal of 45620352 is 25302654.

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.

45620352 is a `hidden beast` number, since 4 + 5 + 620 + 35 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22810176 + 22810176 = 4776^2 + 4776^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=4776.

It is not an unprimeable number, because it can be changed into a prime (45620353) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 229149 + ... + 229347.

Almost surely, 2^45620352 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 45620352

45620352 is an abundant number, since it is smaller than the sum of its proper divisors (86319963).

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

45620352 is an equidigital number, since it uses as much as digits as its factorization.

45620352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 45620352 is about 6754.2839738939. The cubic root of 45620352 is about 357.3163403716.

Multiplying 45620352 by its product of nonzero digits (7200), we get a square (328466534400 = 573120²).

The spelling of 45620352 in words is "forty-five million, six hundred twenty thousand, three hundred fifty-two".