45292440 has 96 divisors (see below), whose sum is σ = 140945040. Its totient is φ = 11635200.

The previous prime is 45292433. The next prime is 45292441. The reversal of 45292440 is 4429254.

45292440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 45292398 and 45292407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45292441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 448390 + ... + 448490.

Almost surely, 2^45292440 is an apocalyptic number.

45292440 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 45292440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70472520).

45292440 is an abundant number, since it is smaller than the sum of its proper divisors (95652600).

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

45292440 is a wasteful number, since it uses less digits than its factorization.

45292440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 45292440 is about 6729.9658245789. The cubic root of 45292440 is about 356.4581695020.

The spelling of 45292440 in words is "forty-five million, two hundred ninety-two thousand, four hundred forty".