45393920 has 192 divisors, whose sum is σ = 132088320. Its totient is φ = 14745600.

The previous prime is 45393913. The next prime is 45393923. The reversal of 45393920 is 2939354.

It is not an unprimeable number, because it can be changed into a prime (45393923) 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, 1464305 + ... + 1464335.

It is an arithmetic number, because the mean of its divisors is an integer number (687960).

Almost surely, 2^45393920 is an apocalyptic number.

45393920 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 45393920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66044160).

45393920 is an abundant number, since it is smaller than the sum of its proper divisors (86694400).

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

45393920 is a wasteful number, since it uses less digits than its factorization.

45393920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 35.

The square root of 45393920 is about 6737.5010204081. The cubic root of 45393920 is about 356.7241917677.

The spelling of 45393920 in words is "forty-five million, three hundred ninety-three thousand, nine hundred twenty".