45331840 has 64 divisors (see below), whose sum is σ = 109229760. Its totient is φ = 17989632.

The previous prime is 45331837. The next prime is 45331841. The reversal of 45331840 is 4813354.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 45331799 and 45331808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45331841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123337 + ... + 123703.

It is an arithmetic number, because the mean of its divisors is an integer number (1706715).

Almost surely, 2^45331840 is an apocalyptic number.

45331840 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 45331840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54614880).

45331840 is an abundant number, since it is smaller than the sum of its proper divisors (63897920).

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

45331840 is a wasteful number, since it uses less digits than its factorization.

45331840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 45331840 is about 6732.8923948033. The cubic root of 45331840 is about 356.5615008115.

The spelling of 45331840 in words is "forty-five million, three hundred thirty-one thousand, eight hundred forty".