45035040 has 96 divisors (see below), whose sum is σ = 150232320. Its totient is φ = 11300864.

The previous prime is 45034993. The next prime is 45035041. The reversal of 45035040 is 4053054.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 45034998 and 45035016.

It is not an unprimeable number, because it can be changed into a prime (45035041) 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, 5401 + ... + 10919.

It is an arithmetic number, because the mean of its divisors is an integer number (1564920).

Almost surely, 2^45035040 is an apocalyptic number.

45035040 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 45035040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75116160).

45035040 is an abundant number, since it is smaller than the sum of its proper divisors (105197280).

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

45035040 is a wasteful number, since it uses less digits than its factorization.

45035040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5554 (or 5546 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 45035040 is about 6710.8151516787. The cubic root of 45035040 is about 355.7816276387.

Adding to 45035040 its reverse (4053054), we get a palindrome (49088094).

The spelling of 45035040 in words is "forty-five million, thirty-five thousand, forty".