45619488 has 144 divisors (see below), whose sum is σ = 138692736. Its totient is φ = 14192640.

The previous prime is 45619477. The next prime is 45619489. The reversal of 45619488 is 88491654.

45619488 is a `hidden beast` number, since 4 + 561 + 9 + 4 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×45619488² = 4162275370764288, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45619489) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 470256 + ... + 470352.

It is an arithmetic number, because the mean of its divisors is an integer number (963144).

Almost surely, 2^45619488 is an apocalyptic number.

45619488 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45619488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69346368).

45619488 is an abundant number, since it is smaller than the sum of its proper divisors (93073248).

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

45619488 is a wasteful number, since it uses less digits than its factorization.

45619488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 196 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 45619488 is about 6754.2200141837. The cubic root of 45619488 is about 357.3140846293.

The spelling of 45619488 in words is "forty-five million, six hundred nineteen thousand, four hundred eighty-eight".