45783920 has 160 divisors (see below), whose sum is σ = 138324480. Its totient is φ = 13685760.

The previous prime is 45783889. The next prime is 45783923. The reversal of 45783920 is 2938754.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45783923) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138155 + ... + 138485.

It is an arithmetic number, because the mean of its divisors is an integer number (864528).

Almost surely, 2^45783920 is an apocalyptic number.

45783920 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 45783920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69162240).

45783920 is an abundant number, since it is smaller than the sum of its proper divisors (92540560).

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

45783920 is a wasteful number, since it uses less digits than its factorization.

45783920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 45783920 is about 6766.3816031909. The cubic root of 45783920 is about 357.7428737416.

The spelling of 45783920 in words is "forty-five million, seven hundred eighty-three thousand, nine hundred twenty".