45337920 has 112 divisors (see below), whose sum is σ = 145938240. Its totient is φ = 11923456.

The previous prime is 45337847. The next prime is 45337927. The reversal of 45337920 is 2973354.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45337927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79396 + ... + 79964.

It is an arithmetic number, because the mean of its divisors is an integer number (1303020).

Almost surely, 2^45337920 is an apocalyptic number.

45337920 is a gapful number since it is divisible by the number (40) 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 45337920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72969120).

45337920 is an abundant number, since it is smaller than the sum of its proper divisors (100600320).

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

45337920 is a wasteful number, since it uses less digits than its factorization.

45337920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 45337920 is about 6733.3438943812. The cubic root of 45337920 is about 356.5774410205.

The spelling of 45337920 in words is "forty-five million, three hundred thirty-seven thousand, nine hundred twenty".