45738420 has 96 divisors (see below), whose sum is σ = 157640448. Its totient is φ = 9649152.

The previous prime is 45738403. The next prime is 45738431. The reversal of 45738420 is 2483754.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1272 + ... + 9648.

It is an arithmetic number, because the mean of its divisors is an integer number (1642088).

Almost surely, 2^45738420 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 45738420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78820224).

45738420 is an abundant number, since it is smaller than the sum of its proper divisors (111902028).

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

45738420 is a wasteful number, since it uses less digits than its factorization.

45738420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8409 (or 8407 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 45738420 is about 6763.0185568280. The cubic root of 45738420 is about 357.6243263283.

The spelling of 45738420 in words is "forty-five million, seven hundred thirty-eight thousand, four hundred twenty".