45434592 has 144 divisors (see below), whose sum is σ = 152635392. Its totient is φ = 12545280.

The previous prime is 45434581. The next prime is 45434593. The reversal of 45434592 is 29543454.

It is a happy number.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45434593) 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, 62133 + ... + 62859.

It is an arithmetic number, because the mean of its divisors is an integer number (1059968).

Almost surely, 2^45434592 is an apocalyptic number.

45434592 is a gapful number since it is divisible by the number (42) 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 45434592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76317696).

45434592 is an abundant number, since it is smaller than the sum of its proper divisors (107200800).

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

45434592 is a wasteful number, since it uses less digits than its factorization.

45434592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 770 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 45434592 is about 6740.5186744048. The cubic root of 45434592 is about 356.8306990953.

The spelling of 45434592 in words is "forty-five million, four hundred thirty-four thousand, five hundred ninety-two".