45298440 has 320 divisors, whose sum is σ = 175633920. Its totient is φ = 10368000.

The previous prime is 45298439. The next prime is 45298469. The reversal of 45298440 is 4489254.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45298395 and 45298404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1104820 + ... + 1104860.

It is an arithmetic number, because the mean of its divisors is an integer number (548856).

Almost surely, 2^45298440 is an apocalyptic number.

45298440 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 45298440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87816960).

45298440 is an abundant number, since it is smaller than the sum of its proper divisors (130335480).

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

45298440 is a wasteful number, since it uses less digits than its factorization.

45298440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 45298440 is about 6730.4115773109. The cubic root of 45298440 is about 356.4739091014.

The spelling of 45298440 in words is "forty-five million, two hundred ninety-eight thousand, four hundred forty".