45205446 has 128 divisors (see below), whose sum is σ = 116121600. Its totient is φ = 11525760.

The previous prime is 45205439. The next prime is 45205451. The reversal of 45205446 is 64450254.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 766165 + ... + 766223.

It is an arithmetic number, because the mean of its divisors is an integer number (907200).

Almost surely, 2^45205446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45205446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58060800).

45205446 is an abundant number, since it is smaller than the sum of its proper divisors (70916154).

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

45205446 is a wasteful number, since it uses less digits than its factorization.

45205446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154.

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 45205446 is about 6723.4995352123. The cubic root of 45205446 is about 356.2298047031.

It can be divided in two parts, 4520544 and 6, that multiplied together give a square (27123264 = 5208²).

The spelling of 45205446 in words is "forty-five million, two hundred five thousand, four hundred forty-six".