45689220 has 72 divisors (see below), whose sum is σ = 141837696. Its totient is φ = 11898432.

The previous prime is 45689209. The next prime is 45689221. The reversal of 45689220 is 2298654.

It is a happy number.

45689220 is a `hidden beast` number, since 4 + 568 + 92 + 2 + 0 = 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 (45689221) 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 23 ways as a sum of consecutive naturals, for example, 4789 + ... + 10691.

It is an arithmetic number, because the mean of its divisors is an integer number (1969968).

Almost surely, 2^45689220 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 45689220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70918848).

45689220 is an abundant number, since it is smaller than the sum of its proper divisors (96148476).

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

45689220 is a wasteful number, since it uses less digits than its factorization.

45689220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5961 (or 5956 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 45689220 is about 6759.3801490965. The cubic root of 45689220 is about 357.4960502930.

It can be divided in two parts, 456 and 89220, that added together give a triangular number (89676 = T₄₂₃).

The spelling of 45689220 in words is "forty-five million, six hundred eighty-nine thousand, two hundred twenty".