45833040 has 200 divisors, whose sum is σ = 173926368. Its totient is φ = 11093760.

The previous prime is 45833033. The next prime is 45833057. The reversal of 45833040 is 4033854.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 45832995 and 45833013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 70959 + ... + 71601.

Almost surely, 2^45833040 is an apocalyptic number.

45833040 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 45833040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86963184).

45833040 is an abundant number, since it is smaller than the sum of its proper divisors (128093328).

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

45833040 is a wasteful number, since it uses less digits than its factorization.

45833040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 45833040 is about 6770.0103397262. The cubic root of 45833040 is about 357.8707647089.

Adding to 45833040 its reverse (4033854), we get a palindrome (49866894).

The spelling of 45833040 in words is "forty-five million, eight hundred thirty-three thousand, forty".